Question

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

Answer 1

Answer:

Step-by-step 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.