In an AP prove that tm+n+tm-n=2tm. In an AP prove that am+n+am-n=2am. Arithmetic Progression.
In an AP prove that tm+n + tm-n = 2tm. In an AP prove that am+n + am-n = 2am. Arithmetic Progression class 10. #arithmeticprogression #aritmeticprogressionclass10 #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).
https://youtu.be/2A_ckCvKU9g
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.
https://youtu.be/VhdP-vl4XJU
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.
https://youtu.be/1Ylgm_Rmpg0
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.
https://youtu.be/9RYCUU1RGa0
Question 5:
The sum of three terms of an ap is 21 and their product is 231, find the numbers.
https://youtu.be/9QwLHBJDg-c
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.
https://youtu.be/V8k0-SH6gqE
Question 7:
Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.
https://youtu.be/XtyfuOak-lI
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.
https://youtu.be/am0JQ4Zfu98
Question 9:
In an AP prove that tm+n + tm-n = 2tm.
https://youtu.be/1jdqMduzrJE
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.
https://youtu.be/k06I3TOQym8
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).
https://youtu.be/sCDavROiSyE
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.
https://youtu.be/_ZZ6m83KdZk
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).
https://youtu.be/NGWm1rGgIZs
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).
https://youtu.be/1hW1ph0yXW0
Question 15:
If Sn denotes the sum of first n terms of an AP, prove that S12=3(S8-S4).
https://youtu.be/DIfRUmJnDeM
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.
https://youtu.be/_JY_NoSV4aU
Question 17:
If the 8th term of an AP is zero, prove that its 38th term is triple of its 18th term.
https://youtu.be/JMMLqgguuiw
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.
https://youtu.be/ZQU35rHoUKs
Question 19:
Find the sum of 1-1/n + 1-2/n + 1-3/n + .....+ up to n terms.
https://youtu.be/swicHN3Epgk
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.
https://youtu.be/Ivek9LqFPIE
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).
https://youtu.be/qQvJ2xb2HIA
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.
https://youtu.be/6v8fzj72AZs
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).
https://youtu.be/UJoc_9DtdIs
Видео In an AP prove that tm+n+tm-n=2tm. In an AP prove that am+n+am-n=2am. Arithmetic Progression. канала Avi Jain Classes
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).
https://youtu.be/2A_ckCvKU9g
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.
https://youtu.be/VhdP-vl4XJU
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.
https://youtu.be/1Ylgm_Rmpg0
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.
https://youtu.be/9RYCUU1RGa0
Question 5:
The sum of three terms of an ap is 21 and their product is 231, find the numbers.
https://youtu.be/9QwLHBJDg-c
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.
https://youtu.be/V8k0-SH6gqE
Question 7:
Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.
https://youtu.be/XtyfuOak-lI
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.
https://youtu.be/am0JQ4Zfu98
Question 9:
In an AP prove that tm+n + tm-n = 2tm.
https://youtu.be/1jdqMduzrJE
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.
https://youtu.be/k06I3TOQym8
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).
https://youtu.be/sCDavROiSyE
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.
https://youtu.be/_ZZ6m83KdZk
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).
https://youtu.be/NGWm1rGgIZs
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).
https://youtu.be/1hW1ph0yXW0
Question 15:
If Sn denotes the sum of first n terms of an AP, prove that S12=3(S8-S4).
https://youtu.be/DIfRUmJnDeM
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.
https://youtu.be/_JY_NoSV4aU
Question 17:
If the 8th term of an AP is zero, prove that its 38th term is triple of its 18th term.
https://youtu.be/JMMLqgguuiw
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.
https://youtu.be/ZQU35rHoUKs
Question 19:
Find the sum of 1-1/n + 1-2/n + 1-3/n + .....+ up to n terms.
https://youtu.be/swicHN3Epgk
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.
https://youtu.be/Ivek9LqFPIE
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).
https://youtu.be/qQvJ2xb2HIA
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.
https://youtu.be/6v8fzj72AZs
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).
https://youtu.be/UJoc_9DtdIs
Видео In an AP prove that tm+n+tm-n=2tm. In an AP prove that am+n+am-n=2am. Arithmetic Progression. канала Avi Jain Classes
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