Question

Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the

sequence.
19
find the following:

Answer 1

`a(n) = 6 + 3(n - 1)`

`a(1) = 6 + 3(1 - 1)`

`a(1) = 6 + 3 * 0`

`a(1) = 6 + 0`

`a(1) = 6`

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`a(2) = 6 + 3(2 - 1)`

`a(2) = 6 + 3 * 1`

`a(2) = 6 + 3`

`a(2) = 9`

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`a(3) = 6 + 3(3 - 1)`

`a(3) = 6 + 3 * 2`

`a(3) = 6 + 6`

`a(3) = 12`

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`a(4) = 6 + 3(4 - 1)`

`a(4) = 6 + 3 * 3`

`a(4) = 6 + 9`

`a(4) = 15`