Progression (Sequence and Series)Easy

Question

If the sum of the series = S, for |r| < 1 then the sum of the series is :-

Options

A.S2
B.
C.
D.

Solution

= S ⇒ 1 + r + r2 +.....∞ = S
⇒ = S ⇒ r =
Now   = 1 + r2 + r4 + ..... ∞

Create a free account to view solution

View Solution Free
Topic: Progression (Sequence and Series)·Practice all Progression (Sequence and Series) questions

More Progression (Sequence and Series) Questions

If x,y,z are in G.P. then x2 + y2, xy + yz, y2 + z2 are in -...Three numbers are in A.P. The product of the extremes is 5 times the mean, also the sum of the two largest is 8 times th...The sum of all values of $\theta$ in interval $\lbrack 0,4\pi\rbrack$ for which $\frac{sin\theta}{6},cos\theta,tan\theta...The AM of 1,3,5, ....,( 2n &#8722; 1) is -...Product of n positive numbers is unity.The sum of these numbers can not be less than-...