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$Identify Arithmetic Sequences - Linear Functions Exam Find the 33rd term. {:[1","9","17","25","33","dots],[33^("rd ")" term "=[?]]:} 1 st term + common difference(desired term - 1) Enter$

Identify Arithmetic Sequences - Linear Functions $\newline$ Exam $\newline$ Find the $33$ rd term. $\newline$ $\begin{array}{l} 1,9,17,25,33, \ldots \\ 33^{\text {rd }} \text { term }=[?] \end{array}$ $\newline$ $1$ st term + common difference(desired term - $1$ ) $\newline$ Enter

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Writing from expanded to exponent form

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Q. Identify Arithmetic Sequences - Linear Functions

\newline

Exam

\newline

Find the

33

rd term.

\newline

\begin{array}{l} 1,9,17,25,33, \ldots \\ 33^{\text {rd }} \text { term }=[?] \end{array}

\newline

1

st term + common difference(desired term -

1

)

\newline

Enter

Identify common difference: Identify the common difference by subtracting the first term from the second term. $9 - 1 = 8$
Use nth term formula: Use the formula for the nth term of an arithmetic sequence: $\text{nth term} = \text{first term} + (\text{common difference})(n - 1)$ . $\newline$ First term $a_1 = 1$ , common difference $d = 8$ , and $n = 33$ . $\newline$ $33^{\text{rd}}$ term = $1 + (8)(33 - 1)$
Calculate term: Calculate the term inside the parentheses first. $33 - 1 = 32$
Multiply common difference: Multiply the common difference by the result from the previous step. $\newline$ $(8)(32) = 256$
Add first term: Add the first term to the product from the previous step to find the $33^{\text{rd}}$ term. $\newline$ $33^{\text{rd}}$ term = $1 + 256$
Perform final addition: Perform the final addition to get the $33^{rd}$ term. $\newline$ $33^{rd}$ term = $257$

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