If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth

If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth terms. Arithmetic Progression class 10. #arithmeticprogresion #arithmeticprogressionclass10 #arithmeticprogressionavijainclasses #avijainclasses

We have started a series of important questions for #arithmeticprogression for class 10 where you will get almost all the extra questions outside the NCERT that you need to study. The questions with their links are undermentioned and all the students are recommended to go through them in the order mentioned.

Question 1:
If the pth term of an AP is q and the qth term is p, then show that the nth term is (p+q-n).

Question 2:
If the mth term of an AP is 1/n and the nth term is 1/m, then show that the mnth term is 1.

Question 3:
If m times the mth term of an ap is equal to n times its nth term, show that (m+n)th term is zero.

Question 4:
If 10 times the 10th term of an ap is equal to 15 times the 15th term show that its 25th term is 0.

Question 5:
The sum of three terms of an ap is 21 and their product is 231, find the numbers.

Question 6:
The sum of three terms of an ap is 21 and the product of the first and the third term exceeds the second by 6, find the numbers.

Question 7:
Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.

Question 8:
Divide 56 in four parts in AP such that the ratio of the product of their extremes to the product of their means is 5:6.

Question 9:
In an AP prove that tm+n + tm-n = 2tm.

Question 10:
Determine k so that k^2+4k+8, 2k^2+3k+6 and 3k^2+4k+4 are three consecutive terms of an AP.

Question 11:
The pth term of an AP is 1/q and the qth term is 1/p. Show that the sum of its pq terms is 1/2(p+q).

Question 12:
If the sum of first m terms of an ap is the same as the sum of its first n terms, show that the sum of its first (m+n) terms is zero.

Question 13:
If the sum of first m terms of an AP be n and the sum of first n terms be m, then show that the sum of its first (m+n) terms is -(m+n).

Question 14:
If the sum of first n, 2n and 3n terms of an AP be S1, S2 and S3 respectively, then prove that S3=3(S2-S1).

Question 15:
If Sn denotes the sum of first n terms of an AP, prove that S12=3(S8-S4).

Question 16:
If the pth, qth and rth term of an AP be a,b and c respectively, show that a(q-r)+b(r-p)+c(p-q)=0.

Question 17:
If the 8th term of an AP is zero, prove that its 38th term is triple of its 18th term.

Question 18:
If (m+1)th term of AP is twice the (n+1)th term, prove that (3m+1)th term is twice the (m+n+1)th term.

Question 19:
Find the sum of 1-1/n + 1-2/n + 1-3/n + .....+ up to n terms.

Question 20:
Exercise 5.3 Question 11 Class 10.If the sum of first n terms of an AP be 4n-n^2, then find the nth term.

Question 21:
Show that the sum of an AP whose first term is a, the second term is b and the last term is l is equal to (a+l)(b+l-2a)/2(b-a).

Question 22:
If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth terms.

Question 23:
If the ratio of the sum of m and n terms of an AP be m^2:n^2, show that the ratio of its mth and nth term is (2m-1);(2n-1).

[kamlamishra]

This is called a brilliant explanation this type of questions need...

[imaginebeingmayank]

Man. Am literally speechless. Didn't know i would ever find such mentor. Still stunned, the way you clear doubts and understand the basics, am really running out of words. This channel is best one I ever found on this platform, and You made it the best, thanks sir.

[aeroplane_enthusiast]

when the world needed him the most he came in and saved the day

[vishitamordhaya]

Thank you sir..ur explanation is very understanding 😊🙏

[AnneDulong]

Useful and effective explanation. Thank you very much.

[roshnitiwari]

Sir I like your best thing that you are also telling basic concepts in between 🔥❤️

[Yo_Ritzy]

Charan sparsh sir 🙏
Aap sach mai kamal ke teacher hai
Aap bhut achha pdate hai mujhe sab samajh mai aaya 👍

[AviBro-Jod]

Thank You So much sir. This question takes so many times..

[Undefined_infinity]

Best I'm very glad that I found your channel❤🎉❤

[minhajalam]

Sir how we can compare the cofficients of two different equations.

[u.k]

Fantastic explanation ❤❤❤ love you sir

[apekshan]

Notorious question indeed. understood only cuz of this man hats off

[riEsH]

Why we are putting n-1/2 = m-1
Pls explain

[istiakahmed]

You are very much hard-working sir..as like just a Ideal maths teacher should be....you r the best teacher I had ever seen....Salute you Sir....lots of love and respect for u ❤❤

[isanurbenjamin]

Amazing Explanation!
Thank You So Much Sir!

[MrNotgood]

Best explanation for this question, sir.👍👍👍

[richamishra]

Thank you so much sir for this wonderful explanation🙏

[herrypatel]

This is the best explanation I have ever seen for this type of Question

[wavy]

excellent sir, main thing is that you taught us with concept thankyou. sir

[subhasritapadhy]

It was osm
No more words
Brilliant explaination