Sequence and Series questions
1035 published questions with worked solutions.
- The sum of the first k terms of a series S is 3k^2+5k. Which one of the following is correct?
- The sum of the first 8 terms of a GP is five times the sum of its first 4 terms. If r 1 is the common ratio, then what is the...
- If 5th, 7th and 13th terms of an AP are in GP, then what is the ratio of its first term to its common difference?
- If p, 1, q are in AP and p, 2, q are in GP, then which of the following statements is/are correct? I. p, 4, q are in HP. II....
- If p^x=q^y=r^z, where x, y and z are in GP, then consider the following statements : I. p, q and r are in AP. II. p, q and r are...
- If (10+ _ 10 x), (10+ _ 10 y) and (10+ _ 10 z) are in AP, then consider the following statements : I. The GM of x and z is y^2....
- How many terms of the series 1+3+5+7+ amount to a sum equal to 12345678987654321?
- How many terms are identical in the two APs 19, 21, 23, ... up to 110 terms and 19, 22, 25, 28, ... up to 75 terms?
- Let p, q and r be three unequal numbers such that p, q and r are in AP. If (q-p), (r-q) and p are in GP, then (p+q):(q+r):(r+p)...
- If p, g_1, g_2 and q are in GP and m is the arithmetic mean of p and q, then g_1^2 g_2 + g_2^2 g_1 is equal to
- The sum of the first n terms of an AP is 3n^2+5n. If the m^ th term of the AP is 68, then what is the value of m?
- If p^ th term of an AP is k, then what is the sum of p^ th term, (p+q)^ th term and (p-q)^ th term of the AP?
- If p, q and r are in AP, then what is p^3+3pr(p+r)+r^3 equal to?
- If 1 b-a + 1 b-c = 2 b , then a, b and c are in
- Let P, Q, R and S be the sum of n terms, 2n terms, 3n terms and 4n terms respectively of an AP such that Q=3P. Which one of the...
- In a GP, the 3rd, 5th and 7th terms are x, x^2+2 and x^3+10 respectively, where x>1. What is the 8th term?
- If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms,...
- Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is...
- The third term of a GP is 3. What is the product of its first five terms?
- Let x be the HM and y be the GM of two positive numbers m and n. If 5x=4y, then which one of the following is correct?
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