Each term in the sequence below is 3 ⁄ 2 more than the previous term. What is the eighth term of the sequence?

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Accepted Answer

The fourth term in the sequence is 10 1 ⁄ 2 . You are looking for the eighth term, which is four terms after the fourth term. Since each term is 3 ⁄ 2 more than the previous term, the eighth term will be 4( 3 ⁄ 2 ) = 6 more than 10 1 ⁄ 2 ; 10 1 ⁄ 2 + 6 = 16 1 ⁄ 2 . Since the number of terms is reasonable, you can check your answer by repeatedly adding 3 ⁄ 2 ; 10 1 ⁄ 2 + 3 ⁄ 2 = 12, 12 + 3 ⁄ 2 = 13 1 ⁄ 2 , 13 1 ⁄ 2 + 3 ⁄ 2 = 15, 15 + 3 ⁄ 2 = 16 1 ⁄ 2 .

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