SOLUTION: The third term of a geometric sequence is 12 and the fifth term is 16/3. Determine the formula for a⬇️n, nth term of this sequence. Find the value of a⬇️25. (25 is bene

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Question 1154630: The third term of a geometric sequence is 12 and
the fifth term is 16/3.
Determine the formula for a⬇️n, nth term of this sequence.
Find the value of a⬇️25. (25 is beneath a and n is beneath a as well)

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


The 5th term is the 3rd term, multiplied by the common ratio 2 times:



OR

We can write a formula for the nth term of the sequence using any known term; it is not necessary to find the first term. I will use the given 3rd term.

Since there are two possible values for the common ratio, there are different possible formulas for the n-th term.

OR

The 25th term will be the same using either formula, because the exponent will be even.



Use a calculator....


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