Advertisements
Advertisements
Question
Find the sum to infinity of `21 + 14 + 28/3 + ...`
Solution
`21 + 14 + 28/3 + ...`
Here a = 21, r = `14/21 = 2/3`
S∞ = `"a"/(1 - "r")`
= `21/(1 - 2/3)`
= `21/((3 - 2)/3)`
= `21/(1/3)`
= 21 × 3 = 63
S∞ = 63
APPEARS IN
RELATED QUESTIONS
Find the sum of first n terms of the G.P.
`5, -3, 9/5, - 27/25, ...`
Find the sum of first n terms of the G.P.
256, 64, 16, …
Find the sum of first six terms of the G.P. 5, 15, 45, …
Find the first term of the G.P. whose common ratio 5 and whose sum to first 6 terms is 46872
Find the sum to infinity of 9 + 3 + 1 + ….
Find the sum to n terms of the series
0.4 + 0.44 + 0.444 + …… to n terms
Find the sum to n terms of the series
3 + 33 + 333 + ………… to n terms
Find the rational form of the number `0.bar(123)`
A man saved ₹ 16500 in ten years. In each year after the first, he saved ₹ 100 more than he did in the preceding year. How much did he save in the first year?
Find the G.P. in which the 2nd term is `sqrt(6)` and the 6th term is `9sqrt(6)`
