Question #62d78

Feb 7, 2017

The equation of arithmetic sequence is below:

${A}_{n} = \left(n - 1\right) \cdot d + {A}_{1}$

by using ${a}_{9}$ = -121:
${a}_{9} = - 121 = \left(9 - 1\right) d - 33$
$d = - 22$

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

${A}_{n} = - 11 \left(n - 1\right) - 33$

Now solve for ${a}_{32}$

${a}_{32} = - 11 \left(32 - 1\right) - 33$
${a}_{32} = - 374$