Question

) Write the following series in sigma notation. Determine if the series converges and, if it does, find the sum of the series.
5−3 +9/ 5 −27/ 25+81/ 125 −...

Answer 1

illo + 21 5-3 jon 625 18 ch is conuengent C Geometri Series. na s 5 ' (3)" = { ", 1:, watuch is convergent Geometrie as common Ratio is - 13 ( 2 on connagas e Inks). . 1 = ( ) <! (Note :- Leaving finite terms does not change Convergence) mau 3 alow - 243 Lina2 (625 . 915 ) Ꭴ 5 +3 No C en la com As wo left two terme 5,-3, the sum of series is 5-3 ft 3)" - 5-3+ (usuago) .:.:.:... 242 - 1979 21