Sequence and Series questions
1035 published questions with worked solutions.
- 1 0! + 2 1! + 3 2! + 4 3! + to is equal to
- _ n=1 ^ 1 2n(2n+1) is equal to
- If ^4 ^2 , 12 and ^4 cosec ^2 are in AP then ^8 ^6 , 12 and ^8 cosec ^6 are in
- If 9, x and 5 18 are in AP and 9, y and 7 18 are also in AP then
- If (x-y), x and (x+y) are in HP then | x y2 | equals
- If , 1 and 2 are in GP then is equal to
- If _ ax x, _ bx x, _ cx x are in HP, where a, b, c, x belong to (1, + ), then a, b, c are in
- If a_1, a_2, a_3, are positive numbers in GP then a_n, a_ n+1 , a_ n+2 are in
- If in a ABC, the values of A, B, C are in AP, then
- Let f(1) = 1 and f(n) = 2 _ r=1 ^ n-1 f(r). Then _ n=1 ^ m f(n) is equal to
- Let f be a function satisfying f(x + y) = f(x) f(y) for all x, y R. If f(1) = 3 then _ r=1 ^ n f(r) is equal to
- If f(x-y), f(x) f(y) and f(x+y) are in AP for all x, y, and f(0) 0, then
- Let the rth term, t_r, of a series be given by t_r= r 1+r^ 2 +r^ 4 . Then _ n _ r=1 ^ n t_r is
- If a_n= _0^ /2 ^2nx x ,dx then a_2-a_1, a_3-a_2, a_4-a_3, are in
- Let a_n= _0^ /4 ^nx ,dx. Then a_2+a_4, a_3+a_5, a_4+a_6 are in
- Let A_r; r=1,2,3, be points on the number line such that OA_1,OA_2,OA_3, are in GP where O is the origin, and the common ratio of...
- If 2, _ 3^x - 4 4, _ 3^x + 72 4 are in HP then x is equal to
- The sum of the first n terms of the series 3 + 52 + 94 + 17 8 + is
- Let three positive numbers a, b, c be in GP such that a, b+8, c are in AP, while a, b+8, c+64 are in GP. Then the AM of a, b, c is
- Let f(x) = |x + 1|. The number of values of x [-2, 2] for which f(x-3), f(x-1), f(x+1) are in AP is
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