How do you write the expression for the nth term of the geometric sequence $a_{1} = 4, r = \frac{1}{2}, n = 10$ $a_1=4, r=1/2, n=10$ ?

Question

How do you write the expression for the nth term of the geometric sequence $a_{1} = 4, r = \frac{1}{2}, n = 10$ $a_1=4, r=1/2, n=10$ ?

1 Answer

Impact of this question

5610 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-05T15:41:54

See the explanation below.

Explanation:

The equation for a geometric sequence is $a_{n} = a_{1} {(r)}^{n - 1}$ $a_n = a_1 (r)^(n-1)$ , where $a_{n}$ $a_n$ is the $n^{t h}$ $n^(th)$ term, $a_{1}$ $a_1$ is the first term, and $r$ $r$ is the common ratio.

We can substitute the given values into the equation.

$a_{10} = 4 {(\frac{1}{2})}^{10 - 1}$ $a_10 = 4(1/2)^(10-1)$

$a_{10} = 4 {(\frac{1}{2})}^{9}$ $a_10 = 4(1/2)^(9)$

$a_{10} = 4 (\frac{1}{512})$ $a_10 = 4(1/512)$

$a_{10} = \frac{1}{128}$ $a_10 = 1/128$

Science

Math

Humanities

... and beyond

How do you write the expression for the nth term of the geometric sequence $a_{1} = 4, r = \frac{1}{2}, n = 10$ $a_1=4, r=1/2, n=10$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you write the expression for the nth term of the geometric sequence a_1=4, r=1/2, n=10a1=4,r=12,n=10a_1=4, r=1/2, n=10?

1 Answer

Explanation:

Related questions

Impact of this question

How do you write the expression for the nth term of the geometric sequence $a_{1} = 4, r = \frac{1}{2}, n = 10$ $a_1=4, r=1/2, n=10$ ?