Find the 54 th term of the arithmetic sequence -15,4,23,dots Answer:

Arithmetic Sequence Formula: To find the 54th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is: \[ a_n = a_1 + (n - 1)d \] 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.Identify First Term: First, we identify the first term $ a_1 $ of the sequence, which is given as -15.Find Common Difference: Next, we need to find the common difference $ d $. We can do this by subtracting the first term from the second term: \[ d = 4 - (-15) \] \[ d = 4 + 15 \] \[ d = 19 \]Calculate 54th Term: Now that we have the first term and the common difference, we can find the 54th term $ a_{54} $ using the formula: \[ a_{54} = a_1 + (54 - 1)d \] \[ a_{54} = -15 + (53)(19) \] \[ a_{54} = -15 + 1007 \] \[ a_{54} = 992 \]

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Find the 54 th term of the arithmetic sequence
-15,4,23,dots
Answer:

Find the $54$ th term of the arithmetic sequence $-15,4,23, \ldots$ $\newline$ Answer:

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Q. Find the

54

th term of the arithmetic sequence

-15,4,23, \ldots

\newline

Answer:

Arithmetic Sequence Formula: To find the $54$ th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is: $\newline$ $a_n = a_1 + (n - 1)d$ $\newline$ 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.
Identify First Term: First, we identify the first term $a_1$ of the sequence, which is given as $-15$ .
Find Common Difference: Next, we need to find the common difference $d$ . We can do this by subtracting the first term from the second term: $\newline$ $d = 4 - (-15)$ $\newline$ $d = 4 + 15$ $\newline$ $d = 19$
Calculate $54$ th Term: Now that we have the first term and the common difference, we can find the $54$ th term $a_{54}$ using the formula: $\newline$ $a_{54} = a_1 + (54 - 1)d$ $\newline$ $a_{54} = -15 + (53)(19)$ $\newline$ $a_{54} = -15 + 1007$ $\newline$ $a_{54} = 992$