Find the 82 nd term of the arithmetic sequence -27,-43,-59,dots Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. The common difference (d) is the difference between any two consecutive terms. For the given sequence: -43 - (-27) = -43 + 27 = -16.Use 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 and d is the common difference.Calculate 82nd term: Calculate the 82nd term using the formula. a_1 = -27 (first term) n = 82 (the term number we want to find) d = -16 (common difference) a_82 = a_1 + (82 - 1)(-16) a_82 = -27 + (81)(-16)Perform calculation: Perform the calculation. a_82 = -27 + (81)(-16) a_82 = -27 - 1296 a_82 = -1323

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Find the
82 nd term of the arithmetic sequence
-27,-43,-59,dots
Answer:

Find the $82 n d$ term of the arithmetic sequence $-27,-43,-59, \ldots$ $\newline$ Answer:

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Math Problems

Algebra 1

Identify a sequence as explicit or recursive

Full solution

Q. Find the

82 n d

term of the arithmetic sequence

-27,-43,-59, \ldots

\newline

Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. $\newline$ The common difference $d$ is the difference between any two consecutive terms. $\newline$ For the given sequence: $-43 - (-27) = -43 + 27 = -16$ .
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: $\newline$ $a_n = a_1 + (n - 1)d$ $\newline$ where $a_1$ is the first term and $d$ is the common difference.
Calculate $82$ nd term: Calculate the $82$ nd term using the formula. $\newline$ $a_1 = -27$ (first term) $\newline$ $n = 82$ (the term number we want to find) $\newline$ $d = -16$ (common difference) $\newline$ $a_{82} = a_1 + (82 - 1)(-16)$ $\newline$ $a_{82} = -27 + (81)(-16)$
Perform calculation: Perform the calculation. $\newline$ $a_{82} = -27 + (81)(-16)$ $\newline$ $a_{82} = -27 - 1296$ $\newline$ $a_{82} = -1323$