Question

What is the explicit formula of a1=-3,d=2

Answer 1

The explicit formula for the given expression is 2 n - 3

Explanation:

Here, the first term of sequence = -1

The common difference = 2

In a ARITHMETIC PROGRESSION:

The nth term of a sequence is given as

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

⇒ Here, a(n) = -1 + (n-1)(2)

= -1 + 2n -2

= 2n - 3

or, a(n) = 2n - 3

Hence, the explicit formula for the given expression is 2n - 3.