Question

Which term of the following sequences:

(a) 2, 2√2, 4,...is 128

(b) √3, 3, 3 √3,...is 729?

(c) 1/3, 1/9, 1/27,...is 1/19683?

Answer 1

(a) The given sequence is 2,2√2,4,… 128?
Here, a = 2 and r = (2√2)/2=√2

Let the nth term of the given sequence be 128.

Thus, the 13^th term of the given sequence is 128.