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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 8,17,26 fine the 31 term

1 Answer

5 votes

Answer:

278

Explanation:

Given


Sequence:= 8, 17, 26

Required

The 31st term

The given sequence is an arithmetic sequence because


d = 17 -8= 26 -17 =9

The 31st term, is then calculated as:


T_n = a + (n - 1)d

Where


a = 8 --- The first term


T_(31) = 8 + (31 - 1)*9


T_(31) = 8 + 30*9


T_(31) = 8 + 270


T_(31) = 278

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