Each term in the sequence below is nine less than the previous term. What is the ninth term of the sequence?

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Accepted Answer

The fourth term in the sequence is 74. You are looking for the ninth term, which is 5 terms after the fourth term. Since each term is nine less than the previous term, the ninth term will be 5(9) = 45 less than 74; 74 – 45 = 29. Since the number of terms is reasonable, you can check your answer by repeatedly subtracting 9; 74 – 9 = 65, 65 – 9 = 56, 56 – 9 = 47, 47 – 9 = 38, 38 – 9 = 29.

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