3 years ago

Write an explicit formula formula for the sequence 2, 8, 14, 20, 26,...

Mathematics

1 answer:

Degger [83]3 years ago

5 0

Answer:

d. a_n = 6n - 4.

Step-by-step explanation:

The common difference (d) is 8-2 = 14-8 = 20-14 = 26-20 = 6.

This is an Arithmetic Sequence with the first term (a1) is 2.

The general form of the explicit formula is a_n = a1 + d(n - 1) so this sequence has the formula:

a_n = 2 + 6(n - 1)

a_n = 2 + 6n - 6

a_n = 6n - 4.

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