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Question: Answered & Verified by Expert
The sum of first four terms of a G.P. is 160 and the common ratio is 3 , then the $4^{\text {th }}$
term is
MathematicsSequences and SeriesJEE Main
Options:
  • A 118
  • B 100
  • C 108
  • D 102
Solution:
1745 Upvotes Verified Answer
The correct answer is: 108
$a, a r, a r^{2}, a r^{3}$
$2=3$
$\frac{a\left(\varepsilon^{4}-1\right)}{(\varepsilon-1)}=160$
Solving these we get $a=4$
$a \varepsilon^{3}=t_{4}=108$

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