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The simplest answer, the one your teacher is expecting you to give, is based on there being a constant difference of 8 between terms: 145 + 8 = 153, 153 + 8 = 161, so the next number would be 161 + 8 = 169 (in this case t(n) = 137 + 8n).

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However, what number would you like? Give me the next number you want and I'll give you the formula for the terms so that terms 1-3 are as given and the 4th term is the number you want. eg with t(n) = (4n³ - 24n² + 68n + 387)/3, t(1) = 145, t(2) = 153, t(3) = 161, t(4) = 177.

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8y ago

What else can I help you with?