Let `S_(1),S_(2),"…."` be squares such that for each `n ge 1`, the length of a side of `S_(n)` equals the lengh of a diagonal of `S_(n+1)`. If the length of a side of `S_(1)` is 10 cm and the area of `S_(n)` less than 1 sq cm. Then, find the value of n.

Let S_(1),S_(2),S_(3) , …. Are squares such that for each nge1, The length of the side of S_(n) is equal to length of diagonal of S_(n+1) . If the length of the side S_(1) is 10 cm then for what value of n, the area of S_(n) is less than 1 sq.cm.

Let S_1, S_2, be squares such that for each ngeq1, the length of a side of S_n equals the length of a diagonal of S_(n+1)dot If the length of a side of S_1i s10c m , then for which of the following value of n is the area of S_n less than 1 sq. cm? a. 5 b. 7 c. 9 d. 10

Let S_1, S_2, be squares such that for each ngeq1, the length of a side of S_n equals the length of a diagonal of S_(n+1)dot If the length of a side of S_1i s10c m , then for which of the following value of n is the area of S_n less than 1 sq. cm? a. 5 b. 7 c. 9 d. 10

Let A_(1), A_(2), A_(3),….., A_(n) be squares such that for each n ge 1 the length of a side of A _(n) equals the length of a diagonal of A _(n+1). If the side of A_(1) be 20 units then the smallest value of 'n' for which area of A_(n) is less than 1.

If S_n , be the sum of n terms of an A.P ; the value of S_n-2S_(n-1)+ S_(n-2) , is

If S_n , denotes the sum of n terms of an AP, then the value of (S_(2n)-S_n) is equal to

Let S_n denotes the sum of the first of n terms of A.P. and S_(2n)=3S_n . then the ratio S_(3n):S_n is equal to

For each positive integer n, let S_n =sum of all positive integers less than or equal on n. Then S_(51) equals

In an AP, If S_(n)=n(4n+1), then find the AP.