Question

Enter the explicit rule for the geometric sequence. 60,12,12/5,12/25,12/125,...

Answer 1

Answer:

see explanation

Step-by-step explanation:

The n th term (explicit rule) of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r is the common ratio

here a₁ = 60 and r = $\frac{12}{60}$ = $\frac{1}{5}$, hence

$a_{n}$ = 60 $(\frac{1}{5}) ^{n-1}$

Answer 2

Answer:

60(1/5)^(n-1).

Step-by-step explanation:

The common ratio  r   is 12/60 = 12/5 / 12  = 12/25 / 12/5 = 1/5.

The first term a1 = 60 so the explicit rule is

a1 * r^(n-1)

= 60(1/5)^(n-1).