Find the second
,
fifth
,
and tenth
terms of the sequence described by the rule.
A(n)equals
9plus(nminus1)(4
)
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Part 1
A(2
)equals13
(Simplify your answer. Type an integer or a decimal.)
Part 2
A(5
)equals25
(Simplify your answer. Type an integer or a decimal.)
Part 3
A(10
)equalsenter your response here
(Simplify your answer. Type an integer or a decimal.)
Let's use the given rule to calculate the terms of the sequence.
The rule provided is:
\[ A(n) = 9 + (n - 1) \cdot 4 \]
Let's calculate the terms one by one.
Part 1: Second term, A(2)
\[ A(2) = 9 + (2 - 1) \cdot 4 \]
\[ A(2) = 9 + 1 \cdot 4 \]
\[ A(2) = 9 + 4 \]
\[ A(2) = 13 \]
Part 2: Fifth term, A(5)
\[ A(5) = 9 + (5 - 1) \cdot 4 \]
\[ A(5) = 9 + 4 \cdot 4 \]
\[ A(5) = 9 + 16 \]
\[ A(5) = 25 \]
Part 3: Tenth term, A(10)
\[ A(10) = 9 + (10 - 1) \cdot 4 \]
\[ A(10) = 9 + 9 \cdot 4 \]
\[ A(10) = 9 + 36 \]
\[ A(10) = 45 \]
So the tenth term of the sequence is 45.