Question

Formula for the geometric sequence 1/2, 1, 2, 4

Answer 1

Answer:

$a_{n}$ = $\frac{1}{2}$ $(2)^{n-1}$

Step-by-step explanation:

the nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = $\frac{1}{2}$ and r = $\frac{a_{2} }{a_{1} }$ = $\frac{1}{\frac{1}{2} }$ = 2 , then

$a_{n}$ = $\frac{1}{2}$ $(2)^{n-1}$