Write an explicit formula for the sequence 7, 1, - 5, - 11, - 17, ... Then find a14

Question

Mathematics

Danny Horn

1 July, 01:08

Write an explicit formula for the sequence 7, 1, - 5, - 11, - 17, ... Then find a14

+1

Answers (1)

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Adalynn Walters · Answer 1

An=a1+d (n-1)

a1 = 7

find d

Let's use a2

a2=1

1=7+d (2-1)

1=7+d

-7 both sides

d=-6

explicit formula is

an=7+-6 (n-1)

a14=?

a14=7-6 (14-1)

a14=7-6*13

a14=7-78

a14=-71