Question

the 10 th term and 18 th term an a.p are 25 and 41 respectively then find 38 th term​

Answer 1

Answer : 81

Step-by-step explanation:

a+(10-1)d = 25

=>a+9d = 25 ---->(i)

a+(18-1)d =41

=>a+17d = 41 ---->(ii)

Now, (ii) - (i)

a+17d-a-9d = 41-25

=>8d = 16

=>d = 2

Therefore, a = 25-9d = 25-9(2) = 25-18 = 7

=> a = 7

38th term = a+(38-1)d

=7 + 37(2)

=81

Answer = 81