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kkurt [141]
4 years ago
6

Can someone write an explicit formula for the following sequence for me?:

Mathematics
1 answer:
Phoenix [80]4 years ago
3 0

Answer:

a_n=10-7n

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and [ted]d[/tex] is the common difference.

The given sequence is arithmetic because term-previous term is the same per each pair of term and previous term.

That is the following holds:

-4-3=-11-(-4)=-18-(-11)

All of these differences are equal to -7, the common difference.

So let's fill in the explicit form:

a_n=3+-7(n-1)

or

a_n=3-7(n-1)

or

a_n=3-7n+7

or

a_n=10-7n

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