The sum of three consecutive odd integers is -15 what are the three integers?

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Answer 1 · 2016-02-12T08:42:10

The three consecutive integers are -7, -5, -3

The three consecutive odd integers can be represented algebraically by

$n$
$n+2$
$n+4$

Since they are odd the increases must be by units of two.

The sum of the three numbers is -15

$n + n + 2 + n + 4 =-15$
$3n +6 =-15$
$3n +6 -6 =-15 -6$
$3n = -21$
$(3n)/3 = -21/3$
$n = -7$
$n+2 = -5$
$n+4 = -3$