Question

For each given sequence: write down term to term rule and position to term rules 2,5,8,11,14

Answer 1

Tn = 3n + 1

Explanation:

The given sequence 2,5,8,11,14 is an arithmetic sequence

The nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term

d is the common difference

n is the number of terms

Given

a = 2

d = 5-2 = 8-5 = 3

Substitute into the formula

Tn = 2 + (n-1) * 3

Tn = 2 + 3n - 3

Tn = 3n + 1

This gives the term rule for the sequence