The sum of the three consecutive numbers in GP. is 21 and the sum of their squares is 189. The product of the numbers is
(A) 72 (B) 216 (C) 108 (D) 144
If the 1Oth term of the sequence, a, a - b, a - 2b, a - 3b,.....is 20 and the 20th term is 10, then the x^{th} term of the series is
(A) 10 – x (B) 20 – x (C) 29 – x (D) 30 – x
Given that 1^{2} + 2^{2} + 3^{2} +.....+ 20^{2} = 2870, the value of 2^{2} + 4^{2} + 6^{2} + ....... + 40^{2}is:
(A) 11480 (B) 5740 (C) 28700 (D) 2870
Which of the following numbers belong to the series? 4, 11, 18, 25, 32, 39, .......
(A) 2099 (B) 2096 (C) 2098 (D) 2097
A man starts going for morning walk every day. The distance walked by him on the first day was 2 kms. Everyday he walks half of the distance walked on the previous day. What can be the maximum total distance walked by him in his life time?
Find the value of 1^{3} + 2^{3} + 3^{3} +... + 15^{3}.
(A) 11025 (B) 13400 (C) 900 (D) 14400
The sum of 40 terms of an AP whose first term is 4 and common difference is 4, will be:
(A) 3280 (B) 1600 (C) 200 (D) 2800
In a GP, the first term is 5 and the common ratio is 2. The eighth term is:
(A) 640 (B) 1280 (C) 256 (D) 160
If the arithmetic mean of two numbers is 5 and their geometric mean is 4, then the numbers are:
(A) 4,6 (B) 4,7 (C) 3,8 (D) 2,8
The value of (1^{3} + 2^{3} + 3^{3} + .... + 15^{3}) – (1 + 2 + 3 + .... 15) is
(A) 14280 (B) 14400 (C) 12280 (D) 13280
The sum of the 6^{th} and 15^{th} terms of an arithmetic progression is equal to the sum of 7^{th}, 10^{th} and 12^{th} terms of the same progression. Which term of the series should necessarily be equal to zero ?
(A) 10^{th }(B) 8^{th }(C) 1^{st }(D) None of these