Question

If t6 = 18 and d = - 10, then what is the general term of an AP?​

Answer 1

Answer:

General term of an AP is 78-10n

Answer 2

Answer:

(68-10n)

Step-by-step explanation:

General term of AP is given by,

a(n) = a + (n-1)d

So in this problem we can write the above as,

a(n) = t6 = 18

n = 6

d = -10

Therefore,

18 = a + (6-1)(-10)

=> 18 = a -50

=> a = 58

Hence, the initial term a = 58

common difference d = -10

Thus, General term can be written as,

tn = 58 + (n-1)(-10)

= 58 - 10n + 10

= 68 - 10n