Advertisements
Advertisements
Question
Identify the following sequence is in G.P.?
`1/3, 1/6, 1/12, ...`
Solution
`1/3, 1/6, 1/12, ...`
r = `("t"_2)/("t"_1)`
= `(1/6)/(1/3)`
= `1/6 xx 3/1 = 1/2`
r = `("t"_3)/("t"_2)`
= `(1/12)/(1/6)`
= `1/12 xx 6/1 = 1/2`
r = `1/2 = 1/2`
∴ It is a G.P.
APPEARS IN
RELATED QUESTIONS
Identify the following sequence is in G.P.?
3, 9, 27, 81, …
Identify the following sequence is in G.P.?
4, 44, 444, 4444, .....
Identify the following sequence is in G.P.?
120, 60, 30, 18, …
Write the first three terms of the G.P. whose first term and the common ratio are given below
a = `sqrt(2)`, r = `sqrt(2)`
Find the number of terms in the following G.P.
`1/3, 1/9, 1/27, ..., 1/2187`
In a G.P. the 9th term is 32805 and 6th term is 1215. Find the 12th term
If a, b, c is in A.P. then show that 3a, 3b, 3c is in G.P.
Sivamani is attending an interview for a job and the company gave two offers to him. Offer A: ₹ 20,000 to start with followed by a guaranteed annual increase of 6% for the first 5 years. Offer B: ₹ 22,000 to start with followed by a guaranteed annual increase of 3% for the first 5 years
If a, b, c is three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that xb–c × yc–a × za–b = 1
For a GP, if Sn = `(4^"n" - 3^"n")/3^"n"`, then t2 = _______.
