Advertisements
Advertisements
Question
For the G.P., if r = `1/3`, a = 9, find t7.
Solution
Given, r = `1/3`, a = 9
tn= arn–1
∴ t7 = `9 xx (1/3)^(7 - 1)`
= `9xx(1/3)^6`
= `9xx1/729`
∴ t7 = `1/81`
APPEARS IN
RELATED QUESTIONS
Verify whether the following sequence is G.P. If so, write tn:
3, 4, 5, 6, ...
Verify whether the following sequence is G.P. If so, write tn:
7, 14, 21, 28, ...
For the G.P., if a = `7/243, "r" = 1/3`, find t3.
For the G.P., if a = 7, r = – 3, find t6.
If p, q, r, s are in G. P., show that p + q, q + r, r + s are also in G. P.
Insert two numbers between 1 and – 27 so that the resulting sequence is a G.P.
Find five numbers in G.P. such that their product is 243 and sum of second and fourth number is 10.
Verify whether the following sequences are G.P.If so, find tn.
`sqrt(5),1/sqrt(5),1/(5sqrt(5)),1/(25sqrt(5))`
Verify whether the following sequences are G.P. If so, find tn.
`sqrt5, 1/sqrt5, 1/(5sqrt5), 1/(25sqrt5),...`
If for a sequence, `t_n = 5^(n-3)/2^(n-3)`, show that the sequence is a G.P.
Find its first term and the common ratio.
For the G.P. if a = `2/3`, t6 = 162, find r.
For the G.P. if a = `2/3 , t_6 = 162 ` , find r
Verify whether the following sequence are G.P. If so, find tn
`sqrt5, 1/sqrt5, 1/(5sqrt5), 1/(25sqrt5),.......`
Verify whether the following sequence is G.P. If to find tn:
`sqrt(5), 1/sqrt(5), 1/(5sqrt(5)), 1/(25sqrt(5))`, ...
Verify whether the following sequence is G.P. If so, find tn.
`sqrt(5), 1/sqrt(5), 1/(5sqrt(5)), 1/(25sqrt5), ...`
If for a sequence, `t_n = (5^(n - 3))/(2^(n - 3))`, show that the sequence is a G.P.
Find its first term and the common ratio.
Verify whether the following sequence is G.P. If so, find tn.
`sqrt5,1/(sqrt5),1/(5sqrt5), 1/(25sqrt5)`, ......
If for a sequence, `t_n = (5^(n-3))/(2^(n-3)`, show that the sequence is a G.P. Find its first term and the common ratio.