Charlotte986
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Sagot :

SenorMathWiz

Answer:

[tex]a_n=-8+(n-1)-7[/tex]

Step-by-step explanation:

General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]

where [tex]a_1[/tex] = first term, and d = common difference.

The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

General formula: [tex]a_n=a_1+(n-1)d[/tex]

We have [tex]a_1=-8[/tex] and d = -7

So the formula to find the nth term would be

[tex]a_n=-8+(n-1)-7[/tex]

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