Help: Q 4 If s=1+a+a2+ upto term (a - Maths - Sequences and Series

Question

Help:

Q 4 If s=1+a+a2+ upto ∞ term (a<1) then the
value of a=
A   s s - 1              
    B   s 1 - s          
      C   s - 1 s        
          D   1 - s s

Neha Sethi · Accepted Answer

Dear student
Here s=1+a+a2+  upto ∞ terms
Clearly ,It is a  Geometric progression with infinte terms and first term,b=1 and common ratio,r=aSo, s=first term1-common ratios=b1-rs=11-a1-a=1s1-1s=as-1s=a
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Help: Q.4 If s=1+a+a2+......... upto ∞ term (a<1) then the value of a= A s s - 1 B s 1 - s C s - 1 s D 1 - s s

Help:

Q.4 If s=1+a+a²+......... upto $\infty$ term (a<1) then the value of a=
$(A) \frac{s}{s - 1} (B) \frac{s}{1 - s} (C) \frac{s - 1}{s} (D) \frac{1 - s}{s}$