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If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms is
- a)S
- b)S
- c)a
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If S is the sum of infinity of a G.P. whose first term is `a', the...
Given that first term =a
S= sum to infinity of a G.P= a/(1−r)
r=1−a/S
Sn=a(1−rn)/(1-r)
Sn=S(1−rn)
Sn=S[1−(1−a/S)n]
S= sum to infinity of a G.P= a/(1−r)
r=1−a/S
Sn=a(1−rn)/(1-r)
Sn=S(1−rn)
Sn=S[1−(1−a/S)n]
Most Upvoted Answer
If S is the sum of infinity of a G.P. whose first term is `a', the...
In a GP , if a is first term and r is common ratio then
sum of infinite terms of GP = S = a/(1 - r)......(1)
sum of n terms if GP = a(1 - r^n)/(1 - r)
= S(1 - r^n) [using (1) ]......(2)
from (1),1 - r=a/S=>r= 1 - a/S
put r in (2)
sum = S[1 - (1 - a/S)^n].........option B
sum of infinite terms of GP = S = a/(1 - r)......(1)
sum of n terms if GP = a(1 - r^n)/(1 - r)
= S(1 - r^n) [using (1) ]......(2)
from (1),1 - r=a/S=>r= 1 - a/S
put r in (2)
sum = S[1 - (1 - a/S)^n].........option B
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Community Answer
If S is the sum of infinity of a G.P. whose first term is `a', the...
Given that first term =a
S= sum to infinity of a G.P= a/(1−r)
r=1−a/S
Sn=a(1−rn)/(1-r)
Sn=S(1−rn)
Sn=S[1−(1−a/S)n]
S= sum to infinity of a G.P= a/(1−r)
r=1−a/S
Sn=a(1−rn)/(1-r)
Sn=S(1−rn)
Sn=S[1−(1−a/S)n]
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If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer?
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If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer?.
If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms isa)Sb)Sc)ad)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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