Find the sum of 1+(4/5)+(7/5^2)+(10/5^3)+........to n terms.
chaman , 10 Years ago
Grade 12
Algebra> progression-and-series...
2 Answers
Pratik Tibrewal
Last Activity: 10 Years ago
given S = 1 + 4/5 + 7/ 5^2 + 10/5^3 + ... -------1
(1/5)S = 1/5+ 4/5^2 + 7/5^3 + ... --------------2
eqn 1 -eqn 2, gives
(4/5)S = 1 + 3/5 + 3/5^2 + 3/5^3 + ..........
4/5S = 1 + 3/5( 1 + 1/5 + 1/5^2 + ..... n - 1 terms) (a G.P. with n-1 terms, first term = 1, and common ration r = 1/5)
S = 5/4 ( 1 + 3/5( (1) ( (1/5)^(n-1) - 1)/(1/5-1)))
Thanks and Regards,
Pratik Tibrewal
askiitians faculty
BTech IITG
ankit singh
Last Activity: 4 Years ago
iven S = 1 + 4/5 + 7/ 5^2 + 10/5^3 + ... -------1
(1/5)S = 1/5+ 4/5^2 + 7/5^3 + ... --------------2
eqn 1 -eqn 2, gives
(4/5)S = 1 + 3/5 + 3/5^2 + 3/5^3 + ..........
4/5S = 1 + 3/5( 1 + 1/5 + 1/5^2 + ..... n - 1 terms) (a G.P. with n-1 terms, first term = 1, and common ration r = 1/5)
S = 5/4 ( 1 + 3/5( (1) ( (1/5)^(n-1) - 1)/(1/5-1)))
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