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Find the first four terms of the sequence defined below, where [tex]\( n \)[/tex] represents the position of a term in the sequence. Start with [tex]\( n = 1 \)[/tex].

[tex]\[ f(n) = 4n \][/tex]

Sagot :

GinnyAnswer
To find the first four terms of the sequence defined by the function [tex]\( f(n) = 4n \)[/tex], we will substitute the values of [tex]\( n \)[/tex] from 1 to 4 into the function one by one.

1. For [tex]\( n = 1 \)[/tex]:
[tex]\[ f(1) = 4 \times 1 = 4 \][/tex]
Thus, the first term of the sequence is 4.

2. For [tex]\( n = 2 \)[/tex]:
[tex]\[ f(2) = 4 \times 2 = 8 \][/tex]
Thus, the second term of the sequence is 8.

3. For [tex]\( n = 3 \)[/tex]:
[tex]\[ f(3) = 4 \times 3 = 12 \][/tex]
Thus, the third term of the sequence is 12.

4. For [tex]\( n = 4 \)[/tex]:
[tex]\[ f(4) = 4 \times 4 = 16 \][/tex]
Thus, the fourth term of the sequence is 16.

The first four terms of the sequence are 4, 8, 12, and 16.
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