Write the equation that describes the sequence 20, 28, 36, 44, ...

12+8n

Step-by-step explanation:

This is sequence and series

Using the formula, a + (n-1) d

a means the first number

n means the number of progression

d means the difference

a=20

n=?

d=8

Apply the formula

=20 + (n-1) 8

=20 + (8n-8)

=20+8n-8

=20-8+8n

=12+8n

The arithmetic equation is 12+8n

Equation is a (n) = 12 + 8n

Step-by-step explanation:

Step 1: This is an Arithmetic Sequence with first term (a) = 20 and common difference (n) = 28 - 20 = 8. Find the equation using the expression for nth term.

a (n) = a + (n - 1) d

a (n) = 20 + (n - 1) 8

= 20 + 8n - 8

= 12 + 8n

∴ Equation is a (n) = 12 + 8n