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

A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n

User Zimmi
by
7.8k points

2 Answers

1 vote

Answer:

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

User ASGM
by
7.8k points
2 votes

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.

User Davydotcom
by
7.6k points

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