## Related questions with answers

Question

Find an explicit formula for the arithmetic sequence of 12,5,-2,-9

Solution

VerifiedStep 1

1 of 2From the given, we have: $a_1=12$ (first term) and $d=5-12=-7$ (common difference)

The $\color{#c34632}{\textbf{explicit formula}}$ is given by:

$a_n=a_1+(n-1)d,\text{ for }n\geq 1$

Substitute given and simplify:

$a_n=12+(n-1)(-7)$

$a_n=12-7n+7$

$\color{#c34632}{a_n=-7n+19}$

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