Question

Which term of the AP 4,11,18 ....is 91 more than its 24th term?​

Answer 1

Answer:

37th term

Step-by-step explanation:

a1 = 4

d = a2 - a1

d = 11-4

d = 7

Let the term 91 more than the 24th term be an

.: a24 +91 = an

and,

a24 = a1 + 23d

.: a1 +23d +91 = an

4+23(7)+91 = an

4+161+91 = an

256 = an

now, the nth term is 256

an = a1 + (n - 1)d

256 = 4 + (n - 1) (7)

256-4 = (n-1)(7)

252/7 = n-1

36+1 = n

n = 37

Hence, 37th term is the term 91 more than the 24th term