Which formula can be used to find the nth term of a geometric sequence where the fifth term is (1)/(16) and the common ratio is (1)/(4) a_(n)=16((1)/(4))^n-1 a_(n)=(1)/(16)((1)/(4))^n-1 a_(n)=(1)/(4)(16)^n-1 a_(n)=(1)/(4)((1)/(16))^n-1

Question

Which formula can be used to find the nth term of a geometric sequence where the fifth term is (1)/(16) and the common ratio is (1)/(4) a_(n)=16((1)/(4))^n-1 a_(n)=(1)/(16)((1)/(4))^n-1 a_(n)=(1)/(4)(16)^n-1 a_(n)=(1)/(4)((1)/(16))^n-1

Answer 1

To find the nth term of a geometric sequence, we can use the formula:

where

is the first term and

is the common ratio.In this case, we are given that the fifth term is

and the common ratio is

. We can use this information to find the first term and then use the formula to find the nth term.Let's substitute the given values into the formula:

Simplifying the right side of the equation:

To solve for

, we can multiply both sides of the equation by 256:

Now that we have found the first term, we can substitute it back into the formula to find the nth term:

Therefore, the correct formula to find the nth term of the geometric sequence is:

So, the correct answer is:

Question

Which formula can be used to find the nth term of a geometric sequence where the fifth term is (1)/(16) and the common ratio is (1)/(4) a_(n)=16((1)/(4))^n-1 a_(n)=(1)/(16)((1)/(4))^n-1 a_(n)=(1)/(4)(16)^n-1 a_(n)=(1)/(4)((1)/(16))^n-1

Solution

Resposta