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Find the 5th term in a sequence whose general term is [tex]$a_n = 3n + 7$[/tex].

A. 17
B. 8
C. 25


Sagot :

To find the 5th term in the sequence defined by the general term [tex]\(a_n = 3n + 7\)[/tex], follow these steps:

1. Substitute [tex]\(n = 5\)[/tex] into the general term formula [tex]\(a_n = 3n + 7\)[/tex].

2. This substitution results in [tex]\(a_5 = 3(5) + 7\)[/tex].

3. First, calculate [tex]\(3 \times 5\)[/tex]:
[tex]\[ 3 \times 5 = 15 \][/tex]

4. Then, add 7 to the result:
[tex]\[ 15 + 7 = 22 \][/tex]

Therefore, the 5th term in the sequence is:
[tex]\[ \boxed{22} \][/tex]
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