Find:
the 35th term of the AP 20, 17, 14, 11, .
Here, First term = a = 20
Common difference = d = 17 - 20 = - 3
To find = 35th term, ∴ n = 35
Using the formula for finding nth term of an A.P.,
an = a + (n - 1) × d
∴ an = 20 + (35 - 1) × (-3)
⇒ an = 20 + 34 × (-3) = 20 - 102 = - 82
∴ 20th term of the given AP is - 82.