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)
Geometric mean of 7,72,73,....7n is
7
7n/2
7n
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
The arithmetic means of first n odd natural number is
n2
2 n
n
3 n
The product (32) (32)1/6 (32)1/36 ..... is
16
32
64
0
The value of is
log 3
log 2
1/2
None of these
If x = 1 + 2 + 4/2! + 8/3! + 16/4! + ...., then x-1 is equal to
e-2
e2
e1/2
If 2/3, k, 5/8 are in AP, then value of k is
15
21
12
31/48
The coefficient of xn in the expansion of loga (1+x) is
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
