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
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
If twice the 11th terms of an AP is equal to 7 times its 21st term, then its 25th term is equal to.
24
120
0
None of these
The value of is
log 3
log 2
1/2
if x = 1 + 2 + 4/2! + 8/3! + 16/4! + ...., then x-1 is equal to
e-2
e2
e1/2
The arithmetic means of first n odd natural number is
n2
2 n
n
3 n
The sum of the integers from 1 to 100 which are divisible by 3 and 5 is
2317
2632
315
2489
The product (32) (32)1/6 (32)1/36 ..... is
16
32
64
The 5th term of the series is
1/3
1
2/5
The sum to infinity of the progression 9 - 3 + 1 -1/3 + .... is
9/2
27/4
15/2