Question

Find the required term of the following sequence using sequence formula:

(i) 1 / 3 , 2 / 9 , 4 / 27…….. (8th term)

(ii) 2, 2√2, 4, … (5th term)

Answer 1

(i) 1 / 3 , 2 / 9 , 4 / 27…….. (8th term)

 

(ii) 2, 2√2, 4, … (5th term)

Here. a = 2; r = \(\frac{2√2}{2}\) = √2; n = 5

T_n = a.r^n-1

∴ T₅ = 2\((√2)^5−1\) = 2\((√2)^4\) = \((2^\frac{1}{2})^4\) = 2(2)² = 2 × 4 = 8