Respuesta :

You can always find the 'nth term' by using this formula: nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.

This question will be solved by use of arithmetic progression (AP) Sequence.

The formula for the nth term of an arithmetic progression sequence is;

aₙ = a + (n - 1)d

where;

a is the first term

n is the position of the term in the sequence

d is the constant difference between 2 consecutive terms

The formula for this sequence is;

aₙ = -3 + (n - 1)4

Our given sequence is;

[-3,1,5, 9, 13, ...]

The first term is -3

The second term is 1

Thus using the nth term formula of an AP earlier quoted, and applying it to the second term, we have;

1 = -3 + (2 - 1)d

1 = -3 + d

d = 1 + 3

d = 4

Thus the formula for this sequence is;

aₙ = -3 + (n - 1)4

Read more at; brainly.com/question/17759303