Question

which term of the g.p 1/3,1/9,1/27,... 2,187?

Answer 1

Answer:

Step-by-step explanation:

1/3 + 1/3² + 1/3³ + ,,,,,,

Tₙ = 1/2187

We know that Tₙ = a * rⁿ⁻¹.

a = 1/3, r = 1/3

1/2187 = 1/3. (1/3)ⁿ⁻¹

1/2187 = (1/3)ⁿ⁻¹⁺¹

1/2187 = (1/3)ⁿ

(1/3)⁷ = (1/3)ⁿ.

//When bases are same, powers are equal.

=> n = 7.

Thus it is the 7th term.