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Find the 11th term in the geometric sequence: 4, 6, 9,....

1 Answer

2 votes

Answer:

A11 = 230.66015625

Explanation:

hi!

the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!

I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)

the next thing you can do is use this formula:

An = A1*r^(n-1)

An = the nth term of the sequence

A1 = the first term in the sequence

r = common ratio

n = the number of term that you are solving for

A11 = 4*(3/2)^(11-1)

A11 = 4*(3/2)^10

A11 = 230.66015625

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