32. The integers 2, a, b, c, 160 are such that the first three terms in A.P. while the last three terms are in GP. Ifthe common ratio ofthe G.P. and common difference of the A.P are equal, then the value of a +b+ c is (A) 56 (B) 64 (C) 72 (D) None of these

The sum of first three terms of a G.P. is (1)/(8) of the sum of the next three terms. Find the common ratio of G.P.

Write first three terms of the A.P ., when the first term is -3 and the common difference is 2.

The ratio of sum of first three terms of G.P. to the sum of first six terms is 64:91 ,the common ratio of G.

Comprehension (6 to 8) Given a special sequence, a, b, c, d such that first three number are in A.P. while the last three are in G.P. If the first number is 18 and common ratio of G.P. is 1/2 , then answer the following questions The value of c+d is given by 9 (b) 10 (c) 11 (d) 12

l, m, n are three numbers in G.P., a is the first term of an A.P., whose l th, mth and nth terms are in H.P. If d is the common difference of the A.P.. prove that a = (m + 1)d.

In an A.P.the first term is 2, the last term is 29 and sum of the terms is 155. Find the common difference of the A.P.

The sum of the fist ten terms of an A.P. , equals 155 and the sum of the first two terms of a G.P. equals 9. The first term of the A.P. is equal to the common ratio of the G.P. and the common difference of the A.P. is equal to the first term G.P.. Give that the common difference of the A.P. is less then unity, which of the following is correct ?

If the first three terms of an A.P. are b, c and 4b, then find the ratio of b and c.