Each term in the sequence below is –2 times the previous term. What is the seventh term of the sequence?

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Accepted Answer

The fourth term in the sequence is –24. You are looking for the seventh term, which is three terms after the fourth term. You must multiply by –2 three times, so the seventh term will be (–2) 3 = –8 times –24; (–24)(–8) = 192. Since the number of terms is reasonable, you can check your answer by repeatedly multiplying by –2; (–24)(–2) = 48, (48)(–2) = –96, (–96)(–2) = 192.

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