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How do you write an equation for the nth term of the arithmetic sequence: -3, -5, -7, -9, ...?

1 Answer

Shell · George C.

Oct 30, 2016

#a_n=-2n-1#

Explanation:

The formula for an arithmetic sequence is #a_n=a_1 +(n-1)d#
where #a_1# is the first term and #d# is the difference between terms.

In this case #a_1=-3# and #d=-2#

#a_n=-3+(n-1)(-2)=-3-2n+2 =-2n-1#

#a_n=-2n-1#

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