Answer:
The first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
Step-by-step explanation:
Given the sequence
[tex]t(n)=-2n+7[/tex]
Here [tex]n[/tex] represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
[tex]t(n)=-2n+7[/tex]
[tex]t(1)=-2(1)+7[/tex]
[tex]t(1)=-2+7[/tex]
[tex]t(1) = 5[/tex]
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
[tex]t(n)=-2n+7[/tex]
[tex]t(2) = -2(2) + 7[/tex]
[tex]t(2) = -4 + 7[/tex]
[tex]t(2) = 3[/tex]
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
[tex]t(n)=-2n+7[/tex]
[tex]t(3) = -2(3) + 7[/tex]
[tex]t(3) = -6 + 7[/tex]
[tex]t(3) = 1[/tex]
Therefore, the first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
