Question

the 10th term of an arithmetic progression is -4 & its 22nd term is -16. find its 38th term

Answer 1

T10= - 4. T22= - 16
a+9d= - 4. a+21d= - 16
Simultaneous equation
a+9d= - 4
a+21d= - 16
(-)
12d=12
d=1

a+9d= - 4
a+9= - 4
a= - 13
T38=a+37d=-13+37 = 24
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