Answer:
a(n) = 3.25n + 1.25
Step-by-step 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
