Advertisements
Advertisements
प्रश्न
Find the sum of G.P. :
`sqrt(3) + 1/sqrt(3) + 1/(3sqrt(3)) + ..........` to n terms.
उत्तर
Given G.P. : `sqrt(3) + 1/sqrt(3) + 1/(3sqrt(3)) + ..........` upto n terms
Here,
First term, a = `sqrt(3)`
Common ratio, r = `(1/sqrt(3))/sqrt(3) = 1/3` ...(∵ r < 1)
Number of terms to be added = n
∴ `S_n = (a(1 - r^n))/(1 - r)`
`=> S_n = (sqrt(3)(1 - (1/3)^n))/(1 - 1/3)`
= `(sqrt(3)(1 - 1/3^n))/(2/3)`
= `(3sqrt(3))/2(1 - 1/3^n)`
APPEARS IN
संबंधित प्रश्न
Find, which of the following sequence from a G.P. :
8, 24, 72, 216, .............
The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.
Q 5
Q 8
Q 1.2
Q 6
Find the sum of G.P. :
1 + 3 + 9 + 27 + .......... to 12 terms.
Find the sum of G.P. :
`1 - 1/3 + 1/3^2 - 1/3^3 + .........` to n terms.
Q 3.3
The sum of three numbers in G.P. is `39/10` and their product is 1. Find the numbers.
