Question

Find the 12th term of the AP: 14,9,4,-1.​

Answer 1

Step-by-step explanation:

The nth term of the AP is given by

Tn = a + (n - 1)d

= 14 + (n - 1) (-5) = (19 - 5n) ...[ a = 14 and d = -5].

Therefore,nth term = (19 - 5n).

12th term of the given AP is

T12 = a + (12-1) d = (a + 11d)

= 14 +11 (-5) = -41 [ a = 14 and d = -5].

Therefore, 12th term = -41.

Answer 2

Answer:

-41

Step-by-step explanation:

given:-

In AP,

First term(a) = 14

common difference (d) = 9-14 = -5

n = 12

12 th term = t12

By the AP formula,

tn = a+(n-1)d

=> t12 = 14+(12-1)×(-5)

=> t12 = 14+11×-5

=> t12 = 14-55

=> t12 = -41