Respuesta :
The first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given the first term and the relationship between the a(n) and a(n+1) terms.
The first term:
a(1) = 18
The relationship:
a(n+1) = [2 + a(n)]/2
Plug n = 1
a(1+1) = [2 + a(1)]/2
a(2) = [2 + 18]/2
a(2) = 20/2
a(2) = 10
Plug n = 2 in the expression:
a(2+1) = [2 + a(2)]/2
a(3) = [2 + 10]/2
a(3) = 6
Plug n = 3 in the expression:
a(3+1) = [2 + a(3)]/2
a(3) = [2 + 6]/2
a(3) = 4
Thus, the first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.
Learn more about the sequence here:
brainly.com/question/21961097
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