Q. 1 B5.0( 1 Vote )

# Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.

0.004, 0.02, 0.1,….

Answer :

(Note: Sequences are in G.P. if they have common ratios

i.e., if

)

Given: a_{1} = 0.004, a_{2} = 0.02, a_{3} = 0.1

Now,

And,

Therefore,

Now, ∵ the ration is same,

⇒ 0.004, 0.02, 0.1, … is a G.P with common ratio = 5

Rate this question :

The fifth term of a G.P. is 1875. If the first term is 3, find the common ratio.

Tamil Nadu Board - MathFind out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.

0.12, 0.24, 0.48,….

Tamil Nadu Board - MathWhich term of the geometric sequence,

(i) 5, 2, … , is (ii) 1, 2, 4, 8,…, is 1024 ?

Tamil Nadu Board - MathIf a, b, c, d are in a geometric sequence, then show that (a - b + c) (b + c + d) = ab + bc + cd.

Tamil Nadu Board - MathA company purchases an office copier machine for ₹50,000. It is estimated that the copier depreciates in its value at a rate of 15% per year. What will be the value of the copier after 15 years?

Tamil Nadu Board - MathIf ₹1000 is deposited in a bank which pays annual interest at the rate of 5% compounded annually, find the maturity amount at the end of 12 years.

Tamil Nadu Board - MathIf the third term of a G.P is 2, then the product of first 5 terms is

Tamil Nadu Board - MathThe common ratio of the G.P. a^{m-n}, a^{m}, a^{m + n}is

If x 0, then 1 + sec x + sec^{2}x + sec^{3}x + sec^{4}x + sec^{5}x is equal to