Question

if the starting term of an AP is 19 and the 6th& 22nd terms are in the ratio 11:31. How to find out the value of the sixth term.
Please help me ​

Answer 1

Answer:

a+5d/a+21d=11/31

19+5d/19+21d=11/31

31(19+5d)=11(19+21d)

589+155d=209+231d

231d-155d=589-209

76d=380

d=5

now, a6=a+5d

=19+5×5

=19+25

=44