The sequence `1/3,-1/2,3/4,-9/8` is a G.P. with first term `1/3` and common ratio equal to `(-1/2)-:(1/3)=\ -3/2dot`.
True or False :

1,4,7,10,is an A.P. whose first term is 1 and the common difference is equal to 4-1=3.

Which term of the sequence 20,19 1/4, 18 1/2, 17 3/4,... is the first negative term?

For the AP : 3/2,1/2,-1/2,-3/2,dotdotdot, write the first term a and the common difference d.

Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first negative term?

Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first negative term?

Which term of the sequence 24 ,\ 23 1/4,\ 22 1/2,\ 21 3/4 is the first negative term?

The first integral term in the expansion of (sqrt3+2^(1/3))^9 , is

The first three terms of a geometric sequence are root4(3), root8(3),1. The fourth term is

If S_(1),S_(2), S_(3),......, S_(p) are the sums of infinite geometric series whose first terms are 1, 2, 3..... p and whose common ratios are (1)/(2),(1)/(3),.... (1)/(p+1) respectively, prove that S_(1) +S_(2)+S_(3)+.... + S_(p) = (1)/(2) p (p+3) .

If S_1, S_2, ,S_n are the sum of n term of n G.P., whose first term is 1 in each and common ratios are 1,2,3, ,n respectively, then prove that S_1+S_2+2S_3+3S_4+(n-1)S_n=1^n+2^n+3^n++n^ndot