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 three numbers a,b,c are in harmonic progression, then which of the following is true?
1/a, b, 1/c are in AP
1/bc, 1/ca, 1/ab are in HP
ab, bc, ca are in HP
a/b, b/c, c/a are in HP
If S is the sum of an infinite GP, the first term a, then the common ratio r is given by
The sum to infinity of the progression 9 - 3 + 1 -1/3 + .... is
9/2
27/4
15/2
If x = 1 + 2 + 4/2! + 8/3! + 16/4! + ...., then x-1 is equal to
e-2
e2
e1/2
None of these
is equal to
n
1/n
1/2 (n+n-1)
1/2 (en + e-n)
The value of is
log 3
log 2
1/2
The product (32) (32)1/6 (32)1/36 ..... is
16
32
64
0
The 5th term of the series is
1/3
1
2/5
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)
