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What is the explicit formula for this arithmetic sequence?
-12,-17, -22, -27, ...

1 Answer

4 votes

Answer:

Explanation:

An explicit arithmetic formula in standard form is


A_n=a_1+d(n-1) where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So

a1 = -12

d = -5 and the explicit formula is


A_n=-12-5(n-1) and you could simplify it a bit to


A_n=-12-5n+5 and finally to


A_n=-5n-7 which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.

User Sacky San
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