Question

Write an expression for the general or nth term, an, for the arithmetic sequence.1, 5, 9, 13,...=The general term of the arithmetic sequence is an(Do not factor. Use integers or fractions for any numbers in the expression.)

Answer 1

arithmetic sequence formula

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

where,

a_n=the nᵗʰ term in the sequence

a_1=the first term in the sequence

d=the common difference between terms

n = term position

For the following sequence: 1, 5, 9, 13,...

a_1=the first term in the sequence = 1

d=the common difference between terms = 4

therefore, a general formula for this sequence woul be:

`a_n=1+(n-1)\cdot4`