Sequence and Series questions
1035 published questions with worked solutions.
- If a, b, c are in GP where a>0, b>0, c>0, then which of the following are correct? 1. a^2, b^2, c^2 are in GP 2. 1 a , 1 b , 1 c...
- If a+b 2 , b, b+c 2 are in HP, then which one of the following is correct?
- If the sum of the first 9 terms of an AP is equal to sum of the first 11 terms, then what is the sum of the first 20 terms?
- If the 5^ th term of an AP is 1 10 and its 10^ th term is 1 5 , then what is the sum of first 50 terms?
- What is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4?
- Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If x y = 55 42 ,...
- If 2^ 1 c , 2^ b ac , 2^ 1 a are in GP, then which one of the following is correct?
- The first and the second terms of an AP are 5 2 and 23 12 respectively. If n^ th term is the largest negative term, what is the...
- In an AP, the first term is x and the sum of the first n terms is zero. What is the sum of next m terms?
- p, q, r and s are in AP such that p+s=8 and qr=15. What is the difference between largest and smallest numbers?
- If the n^ th term of a sequence is 2n+5 7 , then what is the sum of its first 140 terms?
- If (a+b), 2b, (b+c) are in HP, then which one of the following is correct?
- If a, b, c are in AP; b, c, d are in GP; c, d, e are in HP, then which of the following is/are correct? 1. a, c and e are in GP...
- If a, b, c are in HP, then what is 1 b-a + 1 b-c equal to? 1. 2 b 2. 1 a + 1 c 3. 1 2 ( 1 a + 1 b + 1 c ) Select the correct...
- If p times the pth term of an AP is equal to q times the qth term (p q), then what is the (p+q)th term equal to?
- Let p= (x), q= (x^3) and r= (x^5), where x>1. Which of the following statements is/are correct? I. p, q and r are in AP. II. p, q...
- Let x>1, y>1, z>1 be in GP. Then 1 1+ x , 1 1+ y , 1 1+ z are
- If the sum of the first n terms of a series is n(2n+1), then what is the nth term?
- In an AP, the ratio of the sum of the first p terms to the sum of the first q terms is p^2:q^2. Which one of the following is...
- If f(2x)=4x^2+1, then for how many real values of x will f(2x) be the GM of f(x) and f(4x)?
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