GM and HM of two numbers are 10 and 8 respectively. The numbers are
5, 20
4, 25
2, 50
1,100
The value of n for which is the xn + 1 + yn + 1xn + yn geometric mean of x and y is
n = - 12
n = 12
n = 1
n = - 1
If angles A, B and C are in AP, then a + cb equal to
2sinA - C2
2cosA - C2
cosA - C2
sinA - C2
The sum of the infinite series
1 + 12! + 1 . 34! + 1 . 3. 56! + ...
e
e2
1e
If three positive real numbers a, b, c are in AP and abc = 4, then the minimum possible value of b is 2
232
223
213
252
For what value of m, am + 1 + bm + 1am + bm is the arithmetic mean of 'a' and 'b' ?
1
0
2
None of these
If i = - 1 and n is a positive integer, then in + in + 1 + in + 3 is equal to
i
in
If a, b, c are in GP (a> 1, b > 1, c > 1), then for any real number x (with x > 0, x ≠ 1), logax, logbx, logcx are in
GP
AP
HP
GP but not in HP
If x = logabc, y = logbca, z = logcab, then the value of 11 + x + 11 + y + 11 + z will be
x + y + z
ab + bc + ca
abc
Find the sum of the first n terms of the series 0.2 + 0.22 + 0.222 + ...