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If t(n)" is the " n^(th) term of an A.P...

If `t_(n)" is the " n^(th)` term of an A.P., then `t_(2n) - t_(n)` is …..

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If t_(n)" is the " n^(th) term of an A.P. then the value of t_(n+1) -t_(n-1) is ……

If t_(k) is the k^(th) term of a G.P, then show that t_(n-k),t_(n),t_(n+k) also form a GP for any positive integer k.

If S_(n) denotes the sum of n terms of an A.P., S_(n +3) - 3S_(n + 2) + 3S_(n + 1) - S_(n) =

Let s_(n) denote the sum of first n terms of an A.P. and S_(2n) = 3S_(n) . If S_(3n) = kS_(n) then the value of k is equal to

If the n^(th) term of an A.P is 2n-1 then sum to n terms of that A.P. is ........... .

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term, then show that the (m + n)th term of the A.P. is zero.

If the 7^(th) term of n A.P is 40. Then the sum of its first 13 terms is

If the nth term of an A.P. is t_(n) =3 -5n , then the sum of the first n terms is ………

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NCERT TAMIL-NUMBERS AND SEQUENCES -Progress Check
  1. The difference between any two consecutive terms of an A.P. is ….

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  2. If a and d are the first term and common difference of an A.P. then th...

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  3. If t(n)" is the " n^(th) term of an A.P., then t(2n) - t(n) is …..

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  4. The common difference of a constant A.P. is ……

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  5. If every term of an A.P. is multiplied by 3, then the common differenc...

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  6. Three numbers a, b and c will be in A.P. if and only if .

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  7. The sum of terms of a sequence is called ……

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  8. A series have finite number of terms then it is called ……

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  9. If the first and last terms of an A.P. are given, then the formula to ...

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  10. If the sum of n terms of an A.P is (pn + qn^(2)), where p and q are co...

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  11. If the sum of n terms of an A.P is (pn + qn^(2)), where p and q are co...

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  12. A G.P. is obtained by multiplying ……… to the preceding term.

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  13. The ratio between any two consecutive terms of the G.P. is …… and it i...

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  14. Fill in the blanks, if the term are in G.P. (1)/(8), (3)/(4), (9)/(2),...

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  15. Fill in the blanks if the following are in G.P. 7, 7/2,……

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  16. If first term = a, common ratio = r, then find the value of t(9)" and ...

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  17. If G.P if t(1)=(1)/(5) and t(2)=(1)/(25) then the common ratio is .

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  18. Three Non-zero numbers a, b and c will be in G.P. If and only if .

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  19. A series whose terms are in Geometric progression is called …….

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  20. When r = 1, the formula for finding sum to n terms of a G.P. is …….

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