Question

What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?

Answer 1

ANSWER

$a_n=2+ n$

EXPLANATION

The given sequence has terms:

3, 4, 5, 6, 7, ...

The first term is

$a_1=3$

The constant difference is

d=4-3=1

The general term is given by:

$a_n=a_1 + d(n - 1)$

Substitute the first term and the common difference to get,

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

Expand:

$a_n=3+ n - 1$

$a_n=2+ n$

The first choice is correct.

Answer 2

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1)   This matches Answer A