Grade 11IIT JEE Entrance Exam
The sum of infinity of the series 7/5²+10/5³+.............is please solve fully
The sum of infinity of the series 7/5²+10/5³+.............is please solve fully
1 Answer
Arun
Approved Tutor Answer7 Years agoS∞ = 7/5² + 10/5³ + .............................
S∞/5 = 7/5³ + .......................
- - - -
S∞(1-1/5) = 7/5² + 3/5³ + .............
4S∞/5 = 7/ 52+ 3/5( 1/5² + .........................................)
4S∞/5 = 7/ 5^2 + 3/5(1/5^2/(1-1/5))
4S∞/5 = 7/25 + (3/5)(1/20)
4S∞/5 = 31/100
S∞ = 31/400
S∞/5 = 7/5³ + .......................
- - - -
S∞(1-1/5) = 7/5² + 3/5³ + .............
4S∞/5 = 7/ 52+ 3/5( 1/5² + .........................................)
4S∞/5 = 7/ 5^2 + 3/5(1/5^2/(1-1/5))
4S∞/5 = 7/25 + (3/5)(1/20)
4S∞/5 = 31/100
S∞ = 31/400
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