Question

consider the arithmetic Sequence 3 8 13 write it's algebraic form​

Answer 1

3, 8, 13, 18, 23, 28, 33, 38, ...

This sequence has a difference of 5 between each number.

arithmetic sequence 3,8,13,18

The values of a and d are:

a = 3 (the first term)

d = 5 (the "common difference")

Using the Arithmetic Sequence rule:

xn = a + d(n−1)

= 3 + 5(n−1)

= 3 + 5n − 5

= 5n − 2

So the 9th term is:

x9 = 5×9 − 2

= 43