fire sum of the series 1+45+752+1053+…… to infinite terms, is

S∞=1+45+752+1053+…15⋅S∞=15+452+753+…⇒ 45S∞=1+35+352+353+…=74⇒ S∞=3516

fire sum of the series 1+45+752+1053+…… to infinite terms, is

S∞=1+45+752+1053+…15⋅S∞=15+452+753+…⇒ 45S∞=1+35+352+353+…=74⇒ S∞=3516

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

fire sum of the series $1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots \dots$ to infinite terms, is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

35/16

31/12

45/16

41/16

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\begin{array}{l} S_{\infty} = 1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots \\ \frac{1}{5} \cdot S_{\infty} = \frac{1}{5} + \frac{4}{5^{2}} + \frac{7}{5^{3}} + \dots \\ \Rightarrow \frac{4}{5} S_{\infty} = 1 + \frac{3}{5} + \frac{3}{5^{2}} + \frac{3}{5^{3}} + \dots = \frac{7}{4} \\ \Rightarrow S_{\infty} = \frac{35}{16} \end{array}$