Question #62d78

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Answer 1 · 2017-02-07T17:09:40

The equation of arithmetic sequence is below:

$A_{n} = (n - 1) \cdot d + A_{1}$ $A_n = (n-1)*d + A_1$

by using $a_{9}$ $a_9$ = -121:
$a_{9} = - 121 = (9 - 1) d - 33$ $a_9=-121 = (9-1)d -33$
$d = - 22$ $d = -22$

So we can write the equation of this sequence because we now have d

$A_{n} = - 11 (n - 1) - 33$ $A_n = -11(n-1) -33$

Now solve for $a_{32}$ $a_32$

$a_{32} = - 11 (32 - 1) - 33$ $a_32 = -11(32-1)-33$
$a_{32} = - 374$ $a_32 = -374$