Question

Write the sequences equation for the table . Your equation should be in the form a(n)=man+b

Answer 1

a(n) = 3.25n + 1.25

Explanation:

7.75-4,5 = 3.25

11-7.75 = 3.25

14.25-11 =3.25

17.5-14,25 = 3.25

It’s clear that this is an arithmetic sequence with common difference of 3.25

The equation form of such sequence is a(n) = a×n + b ,where ‘a’ is the common difference.

Then

a = 3.25

The first term a₁ = 4.5

On the other hand, a₁ = 3.25 ×(1) + b

Then

4.5 = 3.25 ×(1) + b

Then

b = 4.5 - 3.25 = 1.25

Conclusion:

a(n) = 3.25n + 1.25