Question

Find the n th term of the sequence 27 , 18 , 9 , 0 , -9 , -18 , .......

Answer 1

Answer:

$9(4 - n)$

Step-by-step explanation:

The given sequence is in AP with common difference (-9)

=>

The nth term is

$t_{n} = 27 + (n - 1)( - 9)$

$t_{n} = 36 - 9n$

$t_{n} = 9(4 - n)$

Answer 2

Answer:

Tₙ = 36 - 9n.

Step-by-step explanation:

In the given AP,

a (1st term) = 27, d (common difference) = -9

Asked to find Tₙ

Tₙ = a + (n-1) d

Tₙ = 27 + (n-1) -9

Tₙ = 27-9n+9

Tₙ = 36 - 9n.

The value of 'n' should be substuted if given.