Fill in the blanks:
If for a series `t_n - t_(n-1)` is independent of n for n >1, then the series is an ………

Fill in the blanks: 1 kg f = ___ N.

Fill in the blank spaces. If 3^(n)=729 then

A series of concentric ellipses E_1,E_2, E_3..., E_n are drawn such that E touches the extremities of the major axis of E_(n-1) , and the foci of E_n coincide with the extremities of minor axis of E_(n-1) If the eccentricity of the ellipses is independent of n, then the value of the eccentricity, is

Fill in the blanks 2n chromosome number of butterfly is _______.

The nature of the S_(n)=3n^(2)+5n series is

Sum to n terms the series 1+3+5+7+9+...

In a sequence, the sum of first n terms is S_n = 2n^2 + 3n + 1 , for all values of n. Find,the series and its 50th term.

Find the sum of n terms of the series whose nth term is given by n^2+2^n

Evaluate int_(0)^(1)(tx+1-x)^(n)dx , where n is a positive integer and t is a parameter independent of x . Hence , show that int_0^1 ​ x^k (1−x)^(n−k) dx= P/([.^nC_k(n+1)]) ​ for k=0,1,......n , then P=

If the sum of n terms of a series is 2n^(2)+5n for all values of n, find its 7th term.