Sequence and Series questions
1035 published questions with worked solutions.
- If the first, second and last terms of an arithmetic series are a,b and c respectively, then the number of terms is
- The sum of n terms of two arithmetic series are in the ratio 2n+3:6n+5, then the ratio of their 13^ th terms is
- If 23,k, 58 are in AP, then value of k is
- In an arithmetic progression, the 24^ th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is
- Let a,b,c be in AP. If 0<a,b,c<1, x= _ n=0 ^ a^n, y= _ n=0 ^ b^n and z= _ n=0 ^ c^n, then
- If a_1,a_2,a_3, ,a_n be an AP of non-zero terms, then 1 a_1a_2 + 1 a_2a_3 + + 1 a_ n-1 a_n is equal to
- If a b+c , b c+a , c a+b are in AP, then
- If the sum of 12^ th and 22^ nd terms of an AP is 100, then the sum of the first 33 terms of the AP is
- Three numbers are in AP such that their sum is 18 and sum of their squares is 158. The greatest number among them is
- An AP consists of 23 terms. If the sum of the three terms in the middle is 141 and the sum of the last three terms is 261, then...
- If p^ th term of an arithmetic progression is q and the q^ th term is p, then 10^ th term is
- 7^ th term of an AP is 40. Then, the sum of first 13 terms is
- The sum of the first and third term of an arithmetic series is 12 and the product of first and second term is 24, then first term...
- In an AP the sum of any two terms, such that the distance of one of them from the beginning is same as that of the other from the...
- A person is to count 4500 currency notes. Let a_n denote the number of notes he counts in the n^ th minute. If a_1=a_2= =a_ 10...
- If sum of n terms of an AP is 2n+3n^2, then r^ th term is
- If x,y,z are in AP, then 1 x+ y , 1 z+ x , 1 y+ z are in
- A student read common difference of an AP as -3 instead of 3 and obtained the sum of first 10 terms as -30. Then, the actual sum...
- If a_1,a_2, a_n are in arithmetic progression, where a_1>0 for all i. Then, 1 a_1 + a_2 + 1 a_2 + a_3 + + 1 a_ n-1 + a_n is equal...
- If the sum to first n terms of the AP 2,4,6, is 240, then the value of n is
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