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melisa1 [442]
3 years ago
15

What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.

Mathematics
1 answer:
fgiga [73]3 years ago
6 0

ANSWER

a_n = 11 - 3n

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

a_n = a_1 + d(n - 1)

It was given that:

a_1 = 8

and

a_2 = 3

The common difference is

d = 5 - 8 =  - 3

We plug in the values into the explicit formula to get,

a_n = 8+  - 3(n - 1)

Expand to get,

a_n = 8 - 3n  + 3

The explicit rule is

a_n = 11 - 3n

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