If y = 1 + x + x2 + x3 + .... then x is equal to
y-1/y
1-y/y
y/a-y
None of these
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)
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
If S is the sum of an infinite GP, the first term a, then the common ratio r is given by
The 5th term of the series is
1/3
1
2/5
The product (32) (32)1/6 (32)1/36 ..... is
16
32
64
0
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
In an arithmetic progression, the 24th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is
2300
2350
2400
4700
is equal to
1/n
1/2 (n+n-1)
1/2 (en + e-n)
