## Sum to n terms of Geometric progression - Advance

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.

Q1.  The sum of the first n terms of the series 1/2 + 3/4 + 7/8 + 5/16 + .... is

•   n + 2n-1
•  n + 2n+1
•  n + 2-n-1
•   None of these

n + 2-n-1

Q2. If the product of three consecutive terms of G.P. is 216 and the sum of product of pair – wise is 156, then the numbers will be

•  3,9,27
•  2,6,18
•  2,4,8
•  1,3,9

2,6,18

Q3.  The first term of a G.P. is 7, the last term is 448 and sum of all terms is 889, then the common ratio is

•   5
•  4
•  3
•   2

2

Q4.  The sum of a G.P. with common ratio 3 is 364, and last term is 243, then the number of terms is

•   6
•   5
•  4
•  3

6

Q5.  A G.P. consists of 2n terms. If the sum of the terms occupying the odd places is S1 , and that of the terms in the even places is S2, then S1/S2 is

•  Independent of a
•  Independent of r
•  Independent of a and r
•  Dependent on r

Dependent on r

Q6.  If the sum of the n terms of G.P. is S product is P and sum of their inverse is R, then is equal to

•  (R/S)n
•   (S)n
•  (R)n
•  (S/R)n

(S/R)n

Q7.  The minimum value of n such that 1+3+32+......+3n>1000 is

•  3
•  7
•  9
•  None of these

None of these

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