Advertisements
Advertisements
प्रश्न
Find the sum of G.P. :
0.3 + 0.03 + 0.003 + 0.0003 + ........... to 8 items.
उत्तर
Given G.P. : 0.3 + 0.03 + 0.003 + 0.003 + ...........
Here,
First term, a = 0.3
Common ratio, r = `0.03/0.3`= 0.1 ...(∵ r < 1)
Number of terms to be added, n = 8
∴ `S_n = (a(1 - r^n))/(1 - r)`
`=> S_8 = (0.3(1-(0.1)^8))/(1-0.1)`
= `(0.3(1 - (0.1)^8))/0.9`
=`(1 - (0.1)^8)/3`
= `1/3(1 - 1/10^8)`
APPEARS IN
संबंधित प्रश्न
Find, which of the following sequence from a G.P. :
`1/8, 1/24, 1/72, 1/216, ................`
Find, which of the following sequence from a G.P. :
9, 12, 16, 24, ................
The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.
The product of 3rd and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.
Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.
The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.
Find the third term from the end of the G.P.
`2/27, 2/9, 2/3, .........,162.`
If a, b and c are in A.P. and also in G.P., show that : a = b = c.
Find the geometric mean between `4/9` and `9/4`
Q 3.3
