Question

find 31th term of ap whose 11th term is 38 and 16th term is 73

Answer 1

i hope it will help..

Answer 2

a11=a+10d=38.........<1>

a16=a+15d=73.........<2>

Substitute the equation 2 from 1

a+15d=73

a+10d=38

- - -

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5d=35

d=7

put the value of (d) in equation 1

a+10d=38

a+10×7=38

a+70=38

a=-70-38

a=-108

put the value of a and d in eq (a+30d)

=-108+30×7

=-108+210

=102

So,the 31st term of A.P is 102