In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals.
1/2 (1- √5)
1/2 √5
√5
1/2 (√5 -1)
The 5th term of the series is
1/3
1
2/5
The value of is
log 3
log 2
1/2
None of these
Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then, the value of a is
3
5
9
8
If S is the sum of an infinite GP, the first term a, then the common ratio r is given by
If 2/3, k, 5/8 are in AP, then value of k is
15
21
12
31/48
is equal to
n
1/n
1/2 (n+n-1)
1/2 (en + e-n)
In an AP the sum of any two terms, such that the distance of one of them from the beginning is same as that of the other from the end, is
first term
sum of first and last terms
last term
half of the sum of the series
The arithmetic means of first n odd natural number is
n2
2 n
3 n
Fifth term of a GP is 2, then the product of its 9 terms is
256
512
1024
1100