Question

Find the value of the middle term of the following $AP:-6,-2,2,.....58$.

Answer 1

First term$=-6$

Common difference$=4$

Last term$=58$

$\therefore$ In general last term$=a+(n-1)d$

$\Rightarrow -6+(n-1)4=58$

$\Rightarrow (n-1)4=64$

$\Rightarrow n-1=16$

$\Rightarrow n=17$

Middle term=8

$\therefore$ 8th term$=-6+(8-1)4$

$=-6+28=22$