Question

find the nth term of the sequence :5,2,-1,-4,-7,......

Answer 1

Given a = 5, d = -3.

We know that an = a + (n-1) * d

                             = 5 + (n - 1) * (-3)

                             = 5 - 3n + 3

                             = 8 - 3n.


Hope this helps!

Answer 2

The nth term of the sequence is $a_n=8-3n$.

Step-by-step explanation:

The given sequence is

5,2,-1,-4,-7,......

It is an AP because the difference between any two consecutive terms are same.

First term = 5

Common difference = 2 - 5 = -3

The nth term of an AP is

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

where, a is first term and d is common difference.

Substitute a=5 and d=-3 in the above formula.

$a_n=5+(n-1)(-3)$

$a_n=5-3n+3$

$a_n=8-3n$

Therefore, nth term of the sequence is $a_n=8-3n$.

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