What is the 5th term of the sequence if the first term of a geometric sequence is 40, and the common ratio is 0.5

drzwiczkih5a

drzwiczkih5a

Answered question

2022-11-08

What is the 5th term of the sequence if the first term of a geometric sequence is 40, and the common ratio is 0.5

Answer & Explanation

Brooklyn Mcintyre

Brooklyn Mcintyre

Beginner2022-11-09Added 18 answers

The nth term of a geometric progression can be determined by using the formula:

T n = a r n - 1
where: a = first term and r = common ratio

Substitute the given values of first term and common ratio into the formula:

T n = a r n - 1
T 5 = ( 40 ) ( 0.5 ) 5 - 1
T 5 = ( 40 ) ( 0.5 ) 4
T 5 = ( 40 ) ( 0.0625 )
T 5 = 2.5

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