Which term of the A.P : 21, 18, 15, ............. is (-81) ?
Answer & explanation
Correct answer: option 2
a = 21
d = 18 - 21 = -3 .
Let -81 be the nth term.
Now, nth term, an= a+(n−1)d
-81 = 21 + ( n -1 ) -3
-81 = 21 -3n + 3
-81 = 24-3n
3n = 24 + 81
n = 105/3 = 35