jee-advanced 2000 Q13

jee-advanced · India · screening Indefinite & Definite Integrals Definite Integral Evaluation (Computational)

13. Consider an infinite geometric series with first term and common ratio $r$. If its sum is 4 and the second term is $3 / 4$, then :
(A) $a = 4 / 7 , r = 3 / 7$
(B) $\mathrm { a } = 2 , \mathrm { r } = 3 / 8$
(C) $\mathrm { a } = 3 / 2 , \mathrm { r } = 1 / 2$
(D) $\mathrm { a } = 3 , \mathrm { r } = 1 / 4$

13. Consider an infinite geometric series with first term and common ratio $r$. If its sum is 4 and the second term is $3 / 4$, then :\\
(A) $a = 4 / 7 , r = 3 / 7$\\
(B) $\mathrm { a } = 2 , \mathrm { r } = 3 / 8$\\
(C) $\mathrm { a } = 3 / 2 , \mathrm { r } = 1 / 2$\\
(D) $\mathrm { a } = 3 , \mathrm { r } = 1 / 4$\\

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