Advertisements
Advertisements
प्रश्न
Find the sum to infinity of 9 + 3 + 1 + ….
उत्तर
9 + 3 + 1 + ….
a = 9, r = `3/9 = 1/3 < 1`
S∞ = `"a"/(1 - "r")`
= `9/(1 - 1/3)`
= `(9/(3 - 1))/3`
= `(9/2)/3`
= `9 xx 3/2`
= `27/2`
APPEARS IN
संबंधित प्रश्न
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 sum to infinity of `21 + 14 + 28/3 + ...`
If the first term of an infinite G.P. is 8 and its sum to infinity is `32/3` then find the common ratio
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 sum of the Geometric series 3 + 6 + 12 + …….. + 1536
Kumar writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they continue the process similarly. Assuming that the process is unaltered and it costs ₹ 2 to mail one letter, find the amount spent on postage when 8th set of letters is mailed
Find the rational form of the number `0.bar(123)`
