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Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....

Write an explicit formula for an, the nth term of the sequence 21, 27, 33, ....-example-1
User Abedfar
by
8.4k points

1 Answer

9 votes

Answer:

Explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.

User JJ Gerrish
by
8.1k points

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