Question
The sum of first two terms of a G.P is 53 and the sum to infinite terms is 3. What is the first term?
Answer: Option A
:
A
The first two terms = a, ar
a+ar=53
a(1−r)=3
a=3(1−r)
a(1+r)=53
3(1−r)(1+r)=53
1−r2=59
r2=49
r=23
a=3(1−23)=1
First term is 1.
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:
A
The first two terms = a, ar
a+ar=53
a(1−r)=3
a=3(1−r)
a(1+r)=53
3(1−r)(1+r)=53
1−r2=59
r2=49
r=23
a=3(1−23)=1
First term is 1.
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