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Problems on Arithmetic Geometric Progressions

Q31. 12 + 32 + 52 + ......... + 152 = ?
(a) 620
(b) 640
(c) 660
(d) 680

Q32. 62 + 72 + ......... + 122 = ?
(a) 595
(b) 607
(c) 613
(d) 633

Q33. 13 + 23 + 33 +......... + 103 = ?
(a) 2137
(b) 2541
(c) 2863
(d) 3025

Q34. How many terms of the series 3, 9, 27, .......... will add up to 365 ?
(a) 3
(b) 5
(c) 7
(d) 8

Q35. The second term of a G.P is 2/3 and the 5th term is 16/81 . Its 9th term is ?
(a) 1357
(b) 1413
(c) 1458
(d) 1566



Q36. The sum (1 + 1/2 + 1/4 + 1/8 + .......... ∞) = ?
(a) 2
(b) 4
(c) 6
(d) 8

Q37. If 3x, (x + 9) and (3x + 1) are in A.P then x = ?
(a) 14/3
(b) 15/6
(c) 15/7
(d) 17/4

Q38. The value of (13 + 23 + ......... + 153) - (1 + 2 + 3 + ..... + 15) = ?
(a) 13587
(b) 13856
(c) 14280
(d) 14665

Q39. The value of 12 + 22 + ......... + 102 = 385 then the value of 22 + 42 + ...... + 202 is
(a) 1421
(b) 1435
(c) 1540
(d) 1598

Q40. A club consists of members whose ages are in A.P, the common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250 years, then the number of members in the club is
(a) 21
(b) 25
(c) 26
(d) 31


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