Harmonic Sequence, Harmonic Mean and Harmonic Series

[@smellslikepowder5347]

Kudos to this Teacher he's really good at emphasizing things and how he explain it is very clear and easy to understand i hope this man can keep teaching kids who feel difficult at learning their academics

[@danapuli5052]

You're videos are interesting, they're easy to understand and not hard to follow. When i'm watching khan academy or organic chemistry tutor I get a little confused, so thank you for the lesson I wish you make a video about power series.

[@patrixialara1273]

Nahuhuli na kase ako sa mga lesson Kaya napunta ako dito salamat kuya na gets ko po agad

[@SebastianPoliquit]

Sir Pablo Thank you po bilis ko po na gets mga tinuro mo😊❤

[@bars1763]

Sa November pa Math namin sir and I'm a grade 10 student na nagbabalak mag STEM laking tulong po ng mga video nyo for me.

[@eict-cgabrielsuajico6899]

stem pa

[@igoseloisat.3025]

@@eict-cgabrielsuajico6899 stem pa (2) HAHAH

[@schynelopez582]

Magsisisi ka

[@kathdeguzman7871]

salamat mo senior pablo ito po ung matagal ko nang hinahanap na topic.

[@rvvg7777]

HI

welcome Kath pashare din sa classmates mo ha

[@rvvg7777]

@ OK PO

[@barang73]

Hi kath! Taga Lapu-Lapu City ka? Rudinas?

[@kathdeguzman7871]

@@barang73 ndi tga cebu ako cebuhay mo ayieee lalake ako user name ko lang ang kath.

[@JoLoabiarneza928]

Best teacher❤

[@bangpdswifeu8586]

You're a lifesaver sir! God bless!

[@maikahbucay895]

Good evening sir, your an excellent teacher sir but, can i ask you about the 2nd example you've discussed? where did you get the -1/5? (Problem: 2. Find the 5th term of the harmonic sequence if A sub 2 = -2/9 and A sub 7 = - 1/2)

[@paulineannearagon3483]

It is to cancel the coefficient in the d so you have to divide it by -1/5 since we are finding the value of d

[@godismyalmightykingforever3815]

Hello sir😊 I think there is a mistake in example number 2 because (the 5th term or A sub 5 =-7/18) therefore, the 5th term in the harmonic sequence is equal to -18/7. 👉here is my solution sir plss correct me if I'm wrong😊 first i get the common difference(d): A sub 7 = (A sub 2) + 5d -1/2 = -2/9 + 5d -1/2+2/9 = 5d -5/18=5d (-5/18)÷5= (5d)÷5 😁we need to divide both side by 5 para macancel iyong 5 na kasama ni d(common difference) upang iyong d nalang ang matitira sa kabila -1/18=d🤗 since, i already got the d let's find the 5th term A sub 5= (A sub 2) + 3d = -2/9 + 3(-1/18) = -2/9 + (-3/18) = -7/18 then i get the 5th term in the harmonic sequence by getting the reciprocal of it, -18/7👈

[@MARK2MONTELIBANO]

Happy 112k subcriber sir dati huling abot ko mga 48k siguro ngayon nandito napo kayo madami napong sumosuporta sainyo keep it up.❤️💪

[@ernestogaddi8021]

Thank you, Sir. God bless!

[@jennilyndeguzman6694]

Thank you po sir❤. Sana po sa next topic ano naman po SOLVE PROBLEMS IN A SEQUENCE. Salamat po ulet😊

[@godrush6256]

nandri solla ennaka vartha ila ...... romba thanks nanba 👍👍👍👍

[@alyssamartin929]

Tysm for this Sir your videos are very helpful 🥰😁

[@klein_8884]

Excuse me, Sir. I just want to ask about the example number 1 in the Harmonic Mean, the "2 (3) (3/7)" part. You said the answer was 21/7, right? But how did you get that, Sir? I do not want to sound offensive, but... 2×3= 6 6×7= 42 42-3= 39 I am just a bit confused, Sir.

[@roanlancereyes4610]

You really Are A Blessing to out Country Thanks u🥺😊💞

[@leahdeduyo9045]

Sana po may tutorial kayo ng measure of position (grouped data) 😄galing nyo po mag turo Sir 👍❤️

[@mielmarieltupaz8966]

Hi sir!tanong lang po,bakit 120 po yung LCD sa harmonic series?paano mo po yun nakuha?

[@ersellmpinones6533]

Excuse me sir in the ex. No.2 of a harmonic sequence Y is in that in the solution 5/2=5 why did the 5 or 5/1 was made into a receprocal

[@Kennychanxd]

sarap ng tulog ko dito

[@nathanielfroigadores567]

Thank you sir♥️🤟

welcome pashare din sa classmates ha

[@histranger4165]

Hi sir! Congrats po sa 100k subs!! 🥰😭🥺🌸⭐️nasa 2nd quarter na po kasi ako and lesson ko pa direct variation ask ko lang for clarifications. What if hindi sinabe nung equation kung nasaan dun yung x or y na value para hanapin yung constant of variation ano po gagawin ko? Sana makita niyo po ito. THANK YOU PO!!! Example: if 5 pencils cost ₱75, find the cost of 25 pencils. (formula) y=kx san po diyan ang x at y??

[@abygailjanemirandilla7672]

Hello, sir. I like your videos and you're such a good teacher! But I just wanna ask where did you get the -1/5 in your second example where you're subtracting the equation?? Thank you so much.

[@barabibombbomb]

Reciprocal ata nung -5 sa -5d Kaya -⅕.

[@just.heartt]

MPE, para matira ung (d) at malaman mo na ung value nun. Para matira ung variable, need mo imultiply un sa reciprocal niya. For ex. ung 7d, reciprocal ng 7 is 1/7, kapag nagmultiply sila 1d ang sagot or d. Dapat mong imlutiply sa equation is ung reciprocal ng number na katabi ng variable ng need mong value. Tapos siyempre imultiply mo rin ung kabilang part ng eq.

[@11proga-tano61]

Hey sir do we reall need to get the a sub 2 to find the a sub 1?

[@nikki4020]

Can I ask, kung ang hinahanap po ay common difference ng harmonic sequence, kailangan po bang i-reciprocal ng sagot?

[@paulomatillano]

Thank you, Sir.

[@kinah23]

Bat po naging 120 yung lcd? 23:32

[@carviedanseco216]

Thank you so muchhh sirrr

[@buningaldeajovan7528]

Sana ol magaling sa math😭🥺 pero salamat narin sayo sir kasi medyo na intindihan ko yung lesson namin😅❤️ BTW ang galing niyo sa math

[@milkstrawberry3301]

hello sir. can i ask u what this mean "how many multiples of a given number between two given numbers"

[@bernarddelizo1342]

thank you po sir!

[@irinaarts6230]

I can't understand why 6 in 7th term? Can you please elaborate🙂

[@alphagaming2phstudios317]

i guess it is because he forgot to put (n-1) on the formula, and why 6? it is because asub7 = asub1 + (7-1) 6d same goes for the first equation : asub2 = asub1 + (2-1) d. why d only? because 2-1 = 1, and 1 is not supposed to be on the side of variables, so that's why 1 became d (same goes for other variables) remember that the formula for arithmetic sequence is always : asubn = asub1 + (n-1) d keep on learning : )

[@danielynsulit9725]

ang gandanaman

[@ritavaughnkevin_bsism_3b486]

Present sir❤️

[@ryanleron192]

Baka boss Pablo yan💗

[@schynelopez582]

13:05 sana all nahahanap yung value uy

[@yuhwhodis725]

huhu ikaw nalang sana teacher namim

[@nottonerii]

sir pablo sanyo po nakuha yung -1/5 8:16

[@ashleya458]

sir. can I ask where did you get the 120? I didn't get it po

[@yce.9611]

me as well.

[@dosdinlayan1624]

Thank you sir❤️

[@joannareyes4909]

anggaling niyo po sir pero pano po nakuha yung lcd na 120 sa harmonic series po tanong lang. naguguluhan po kase ako e. salamat po sa sasagot

[@barabibombbomb]

For the denominators (2, 4, 6, 8, 10) the least common multiple (LCM) is 120. Therefore, the least common denominator (LCD) is 120.

[@al-emierong7907]

keep it up sir

[@jcreyes3295]

Paano po naging 120 common denaminator? dunsa harmonic series?

[@daisykriscagas3407]

Seym question HAHAHAHAHAHAHAHA

[@chaidumasis4125]

sir? request po ng tutorial para sa fibonacci sequence, thank you po

meron napo

[@florencefernando8598]

I wish u we're our teacher rn:(((

[@jeninedawa]

THANKYOUUUU SIR!!! pogi mo huhu pa accept po sa FB hehe GODBLESS POOOO!!!💗💘

[@jeninedawa]

THANKYOUUUU SIR SA ACCEPT💛💛💛💛💛💛

@@jeninedawa na accept kona ata Jenine

[@ashleydelacruz7789]

abt the sum of h, how po naging 120 ung lcd if plus, i have tried to multiply them pero mataas masyado so im confused pano naging 120

[@alfredobautista1355]

Thank you sou much po

[@johndavidabad1578]

can you make a video about linear equation??

[@itsjeremy109]

Hello sir pano mopo nakuha ang 120 as LCD po?

[@ishytrishy352]

I'm learning math at 1:07 in the morning

[@jc-bq6pn]

Thank you sir

[@giandumlao8140]

question po paano mahanap yung lcd?

[@frederickbalino7653]

Sir sunod po dapat tagalog Yung pag papaliwanag hehehehehe

[@delapenaseanmikkoe.2055]

Sir bakit po 120 ang lcd?

[@kimnarayvonne821]

senior pablo nahihirapan po ako sa factoring quadtric trinomial d ko po sya magets pwede po gumawa po kayo ng tutorial doon ? ni recommend ka po ng classmate ko eh kaya po lumapit na lang po ako sa channel na to po

[@razorthecashier1307]

Can someone help me to how to solvequadratic inequalities x² + 18 ≤ -11x Pls

[@kanserpoako1223]

Pang 11 ko na 'to sa playlist na jusko makakalimutin na yata ako pero yung mga formula sa arithmetic, geometric, at harmonic ay hindi ko maalala kung naituro ba TT

[@janejuancho9731]

Sir gawa din kayo video.para sa pendulum

[@unworthyarcher]

SIR PAREQUEST NAMAN PO NG RATIONAL ROOT THEOREM, TYIA. ㅠ__ㅠ

[@girafyandlionel7678]

23:40 Pano nakuha ung 120

[@ariazer6669]

Same question;(

[@notsofriendlyneighborcat6030]

What to do if walang common difference

[@marckevinkalagayan3992]

anong grade po ito sir

[@wakzcadiz33]

How to find the nth term for harmonic sequence me ganun po kasing word problem sa book kopo nag hahanda ako para sa exam ko this comming tuesday

[@princessacorio8438]

thank you!!

welcome princess

[@Itsmecairi]

👏👏👏

[@r0de_eracfan]

ayoko na😭😭😭😭

[@ainahdangcal5605]

Sunod naman po how to get domain and range of a piecewise fucntion

[@jjonnto]

sir pano po naging 120 yung LCD

[@gamerz5968]

same question

[@nomask7512]

Same too. I wanna know the answer how sir gets 120.

[@kylepascual8568]

If you can see i think 2+10 = 12 and 4+8= 12 i think he add 0 kaya nya nakuha yung 120 tama ba?

[@jumbohotdog4215]

Least common denominator po ng 2,4,6,8,10 para po makuha yung 120 mag iiskip count kapo seperately per number hanggang mag kamuka napo lahat sila

[@DeveloperAdri]

panoi nakuha yung -1/5 wtf

[@firmalinojohnmartin7383]

may mga di ako magets, what if sukuan nlng nating lahat ang math tapos build build nlng ng space ship mag migrate sa pluto

[@hxisee534]

omsim bai kaso kaylangan ng math ang pag build nang spaceship

[@krizzalynconstefalco9487]

Ano po kaya yung formula ng harmonic series? Hehe. Salamat po! 💚

[@lollol-qu3ss]

patulong naman po.... Find the indicated term for the harmonic sequence a5=3/4, a9=3/13 [second term]

[@joshuafigueroa1757]

Minsan iniisip ko kung gagamitin ko toh pag naging bumbero ako 😥

[@MARK2MONTELIBANO]

Sir baka pwede po paruro nung sa Polynomial Equations And Functions po.

[@dampingansurigaonon3000]

SUGGEST: GRADE 8 (FACTORING PERFECT SQUARE TRINOMIALS AND GENERAL TRINOMIALS) HIRAP EHH SIR PLSS SIR NEED NG TEAM KO YUNG LESSON

go to grade 8 playlist

[@dampingansurigaonon3000]

MERON PO?

[@rayangelotasic7576]

Sir

[@ruthlynmorante2983]

Paano po sir kung nth term lang po ang hinahanap...pls po sir mag bigay po kayo ng ex.nalilito po kasi ako ehh

[@PBTV19]

Ang gulo mag turo haaa

[@sidenblack3601]

Cute mo sir hahahahha

[@ad_az3211]

Please, master the lesson first so that the students would easily get what you're teaching. I can see you're having a hard time explaining the lesson.

[@lhevyelford7444]

Wdym, it's fine with me- sounds like you're the one having trouble understanding him

[@justevenwhy]

First nood plang gets ko na di ka lang nag focus maigi at mag notes ka