Question

The nth term of a sequence is 3n + 2

A) work out the first 3 terms in the sequence

B) work out the 10th term in the sequence

Answer 1

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➷ Simply substitute the first 3 values in (1, 2, 3)

A) 3(1) + 2 = 5

3(2) + 2 = 8

3(3) + 2 = 11

The first 3 terms would be 5, 8 and 11

B) To find the 10th term, subtitute 10 in

3(10) + 2 = 32

It would be 32

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Answer 2

see explanation

Explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

`a_(1)` = (3 × 1) + 2 = 3 + 2 = 5

`a_(2)` = (3 × 2) + 2 = 6 + 2 = 8

`a_(3)` = (3 × 3) + 2 = 9 + 2 = 11

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substitute n = 10 into the n th term rule

`a_(10)` = (3 × 10) + 2 = 30 + 2 = 32