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3 years ago

Write an equation for the nth term of the geometric sequence: 4, 8, 16 . . .

Mathematics

1 answer:

kogti [31]3 years ago

7 0

nth term for the geometric sequence 4,8,16,... is $a_n=4(2)^{n-1}$

Step-by-step explanation:

We need to write an equation for the nth term of the geometric sequence: 4, 8, 16 . . .

The formula to find the nth term of geometric sequence is

$a_n=a_1r^{n-1}$

Where a_n is nth term

a_1 is 1st term

and r is common ratio

Finding a_1 and r in the sequence 4,8,16,...

$a_1=4\\r=\frac{a_2}{a_1}\\r=\frac{8}{4}\\r=2$

So, common ratio r is: 2 and a_1 is 4

The nth term is:

$a_n=4(2)^{n-1}$

So, nth term for the geometric sequence 4,8,16,... is $a_n=4(2)^{n-1}$

Keywords: Geometric sequence

Learn more about Geometric sequence at:

#learnwithBrainly

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