Find the 63 rd term of the arithmetic sequence -17,-11,-5,dots Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. The sequence is -17, -11, -5, ... To find the common difference, subtract the first term from the second term. Common difference (d) = -11 - (-17) = -11 + 17 = 6Use formula for nth term: Use the formula for the nth term of an arithmetic sequence. The nth term (a_n) of an arithmetic sequence can be found using the formula: a_n = a_1 + (n - 1) * d where a_1 is the first term, n is the term number, and d is the common difference.Plug values for 63rd term: Plug the values into the formula to find the 63rd term. a_1 = -17 (the first term) n = 63 (the term number we are looking for) d = 6 (the common difference) Now, calculate the 63rd term: a_63 = -17 + (63 - 1) * 6Perform calculations: Perform the calculations. a_63 = -17 + (62 * 6) a_63 = -17 + 372 a_63 = 355

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Find the 63 rd term of the arithmetic sequence
-17,-11,-5,dots
Answer:

Find the $63$ rd term of the arithmetic sequence $-17,-11,-5, \ldots$ $\newline$ Answer:

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Math Problems

Grade 8

Evaluate variable expressions for sequences

Full solution

Q. Find the

63

rd term of the arithmetic sequence

-17,-11,-5, \ldots

\newline

Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. $\newline$ The sequence is $-17$ , $-11$ , $-5$ , ... To find the common difference, subtract the first term from the second term. $\newline$ Common difference $(d) = -11 - (-17) = -11 + 17 = 6$
Use formula for nth term: Use the formula for the nth term of an arithmetic sequence. $\newline$ The nth term $a_n$ of an arithmetic sequence can be found using the formula: $\newline$ $a_n = a_1 + (n - 1) \cdot d$ $\newline$ where $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.
Plug values for $63$ rd term: Plug the values into the formula to find the $63^{\text{rd}}$ term. $\newline$ $a_1 = -17$ (the first term) $\newline$ $n = 63$ (the term number we are looking for) $\newline$ $d = 6$ (the common difference) $\newline$ Now, calculate the $63^{\text{rd}}$ term: $\newline$ $a_{63} = -17 + (63 - 1) \times 6$
Perform calculations: Perform the calculations. $\newline$ $a_{63} = -17 + (62 \times 6)$ $\newline$ $a_{63} = -17 + 372$ $\newline$ $a_{63} = 355$