What formula can be used to find the nth term of the geometric sequence below 1/6, 1, 6, 36

Question

asked Dec 8, 2019 120k views

2 Answers

Osa · Answer 1 · 2019-12-10T15:47:54+0000

"which formula can be used to find the nth term of the geometric system below,
1/6, 1, 6,36"
The correct answer is D,
a_(n)

=1/6·6^n-1

Al Belmondo · Answer 2 · 2019-12-12T23:53:01+0000

Answer:

$a_n=a\cdot r^(n-1)\text{is the formula for used for nth term of a geometric series}$

And nth term of given geometric sequence is

Explanation:

We have been given a geometric series

(1)/(6),1,6,36

Now, we have a formula for
n^(th) term of a geometric sequence

$a_n=a\cdot r^(n-1)$

Here,
a=(1)/(6)

$\text{common ratio that is r}=6$

$\text{number of terms }n=4$

On substituting the values in the formula we will get

$a_n=(1)/(6)\cdot 6^(4-1)$

$a_n=(1)/(6)\cdot 6^(3)$

$a_n=\ 6^(2)$

a_n=36

Therefore, nth term of given sequence is
a_n=36