Question

What values of x, y, and z complete the table for the arithmetic sequence?

Answer 1

ANSWER

$x = 3$

$y = 10$

$z = 17$

EXPLANATION

The rule for the sequence

$a_n=-4+(n-1)7$

When n=2,

$a_2=-4+(2-1)7$

$a_2=-4+7 = 3$

$x = 3$

When n=3,

$a_3=-4+(3-1)7$

$a_3=-4+14 = 10$

$y = 10$

When n=4,

$a_4=-4+(4-1)7$

$a_4=-4+21 = 17$

$z = 17$