If w 1 is a cube root of unity, then the sum of the series S = 1 + 2w + 3w2 + ... + 3nw3n -1 is
3n(w - 1)
0
If in a . ABC, sin(A), sin(B), sin(C) are in AP, then
the altitudes are in AP
the altitudes are in HP
the angles are in AP
the angles are in HP
The value of
e- 1
e
B.
e- 1
Given,
The nth term of the above series
If sum of an infinite geometric series is 4/3 and its Ist term is 3/4, then its common ratio is
7/16
9/16
1/9
7/9
Sum of n terms of the following series 13 + 33 + 53 + 73 + ... is
n2(2n2 - 1)
n3(n - 1)
n3 + 8n + 4
2n4 + 3n2