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The fifth term of a geometric sequence is 24, and the sixth term is 28. What is the value of the tenth term?

User Pygin
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2 Answers

7 votes
32 but if there’s more information it might not be 32 since there can be a sequence of n+2 or just +4
User Bas Van Dijk
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4 votes

Final answer:

The value of the tenth term in the geometric sequence is 56.

Step-by-step explanation:

To find the value of the tenth term in a geometric sequence, we need to first find the common ratio.

We can do this by dividing the sixth term by the fifth term, which gives us 28/24 = 7/6.

Now that we know the common ratio is 7/6, we can use it to find the tenth term.

Since the fifth term is 24, we can continue multiplying by 7/6 four more times to get the tenth term.

So the tenth term is 24 * (7/6)^4 = 56.

User Econ
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