Question

Given this explicit rule below, complete the table with the first 4 terms.

a. f(x) = 2/3 ( n − 1 )
b. f(n) = 2 − 3(n−1)

n fn
1
2
3
4

Answer 1

Using the function f(n) = 2 - 3(n-1), the first four terms for n=1, 2, 3, and 4 are calculated as 2, -1, -4, and -7, respectively.

Step-by-step explanation:

The question involves completing the table for the first 4 terms of a given function.

Let's solve the function f(n) = 2 - 3(n-1) by substituting n with 1, 2, 3, and 4 to find the first four terms.

• For n=1: f(1) = 2 - 3(1-1) = 2 - 3(0) = 2 - 0 = 2
• For n=2: f(2) = 2 - 3(2-1) = 2 - 3 = -1
• For n=3: f(3) = 2 - 3(3-1) = 2 - 3(2) = 2 - 6 = -4
• For n=4: f(4) = 2 - 3(4-1) = 2 - 3(3) = 2 - 9 = -7

So, the first 4 terms are 2, -1, -4, and -7, respectively.