A sequence is defined by .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A sequence is defined by

u_n = 6\left(\frac{1}{2}\right)^{n-1}

. (1) Prove that the sequence is geometric. (2) Find

u_1

and

r

. (3) Find the 16th term of the sequence to 3 significant figures.