Sequence and Series questions
1035 published questions with worked solutions.
- The value of the product 6^ 1 2 6^ 1 4 6^ 1 8 6^ 1 16 up to infinite terms is
- A person is to count 4500 notes. Let a_n denote the number of notes he counts in the nth minute. If a_1=a_2=a_3= =a_ 10 =150, and...
- If y=x+x^2+x^3+ up to infinite terms, where x<1, then which one of the following is correct?
- If 1 3+2 3^2+3 3^3+ +n 3^n= (2n-1)3^a+b 4 then a and b are respectively
- If x_1 and x_2 are positive quantities, then the condition for the difference between the arithmetic mean and the geometric mean...
- The third term of a GP is 3. What is the product of the first five terms?
- If x, 3/2, z are in AP; x, 3, z are in GP; then which one of the following will be in HP?
- If an infinite GP has the first term x and the sum 5, then which one of the following is correct?
- The sum of the series 3-1+ 1 3 - 1 9 + is equal to
- Let T_r be the r^ th term of an AP for r=1, 2, 3, . If for some distinct positive integers m and n we have T_m=1/n and T_n=1/m,...
- If ( - ), and ( + ) are in AP, where 1, then what is the value of ^2 + ?
- If the second term of a GP is 2 and the sum of its infinite terms is 8, then the GP is
- If the sum of first n terms of a series is (n+12), then what is its third term?
- A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is m, and the sum of even terms of the GP...
- Let m and n (m<n) be the roots of the equation x^2-16x+39=0. If four terms p, q, r and s are inserted between m and n to form an...
- Let a, b, c be in AP and k 0 be a real number. Which of the following are correct? 1. ka, kb, kc are in AP 2. k-a, k-b, k-c are...
- Let S_n be the sum of the first n terms of an AP. If S_ 2n =3n+14n^2, then what is the common difference?
- If 3rd, 8th and 13th terms of a GP are p, q and r respectively, then which one of the following is correct?
- If p^2, q^2 and r^2 (where p, q, r>0) are in GP, then which of the following is/are correct? 1. p, q and r are in GP. 2. p, q and...
- What is the value of 2(2 1)+3(3 2 1)+4(4 3 2 1)+5(5 4 3 2 1)+ +9(9 8 7 6 5 4 3 2 1)+2?
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