Find the 64 th term of the arithmetic sequence -30,-39,-48,dots Answer:

Identify Terms and Difference: To find the 64th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is given by: \[ a_n = a_1 + (n - 1)d \] where $ a_n $ is the nth term, $ a_1 $ is the first term, $ n $ is the term number, and $ d $ is the common difference between the terms.Calculate 64th Term: First, we identify the first term $ a_1 $ and the common difference $ d $ from the given sequence. The first term $ a_1 $ is -30. To find the common difference, we subtract the first term from the second term: $ d = -39 - (-30) = -39 + 30 = -9 $.Perform Addition and Subtraction: Now we can use the formula to find the 64th term $ a_{64} $: \[ a_{64} = a_1 + (64 - 1)d \] \[ a_{64} = -30 + (63)(-9) \]Next, we perform the multiplication and addition to find $ a_{64} $: \[ a_{64} = -30 + (-567) \] \[ a_{64} = -30 - 567 \] \[ a_{64} = -597 \]

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Find the 64 th term of the arithmetic sequence
-30,-39,-48,dots
Answer:

Find the $64$ th term of the arithmetic sequence $-30,-39,-48, \ldots$ $\newline$ Answer:

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Q. Find the

64

th term of the arithmetic sequence

-30,-39,-48, \ldots

\newline

Answer:

Identify Terms and Difference: To find the $64$ th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is given by: $\newline$ $a_n = a_1 + (n - 1)d$ $\newline$ where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference between the terms.
Calculate $64$ th Term: First, we identify the first term $a_1$ and the common difference $d$ from the given sequence. The first term $a_1$ is $-30$ . To find the common difference, we subtract the first term from the second term: $d = -39 - (-30) = -39 + 30 = -9$ .
Perform Addition and Subtraction: Now we can use the formula to find the $64$ th term $a_{64}$ : $\newline$ $a_{64} = a_1 + (64 - 1)d$ $\newline$ $a_{64} = -30 + (63)(-9)$
Perform Addition and Subtraction: Now we can use the formula to find the $64$ th term $a_{64}$ : $\newline$ $a_{64} = a_1 + (64 - 1)d$ $\newline$ $a_{64} = -30 + (63)(-9)$ Next, we perform the multiplication and addition to find $a_{64}$ : $\newline$ $a_{64} = -30 + (-567)$ $\newline$ $a_{64} = -30 - 567$ $\newline$ $a_{64} = -597$