Find the 84 th term of the arithmetic sequence 23,39,55,dots Answer:

Identify Common Difference: Identify the common difference of the arithmetic sequence. To find the common difference, subtract the first term from the second term. 39 - 23 = 16 Common Difference: 16Use 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, d is the common difference, and n is the term number.Calculate 84th Term: Calculate the 84th term using the formula. a_1 = 23 (first term) d = 16 (common difference) n = 84 (term number) a_84 = 23 + (84 - 1) * 16Perform Calculation: Perform the calculation. a_84 = 23 + (83 * 16) a_84 = 23 + 1328 a_84 = 1351

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Find the 84 th term of the arithmetic sequence
23,39,55,dots
Answer:

Find the $84$ th term of the arithmetic sequence $23,39,55, \ldots$ $\newline$ Answer:

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Q. Find the

84

th term of the arithmetic sequence

23,39,55, \ldots

\newline

Answer:

Identify Common Difference: Identify the common difference of the arithmetic sequence. $\newline$ To find the common difference, subtract the first term from the second term. $\newline$ $39 - 23 = 16$ $\newline$ Common Difference: $16$
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, $d$ is the common difference, and $n$ is the term number.
Calculate $84^{\text{th}}$ Term: Calculate the $84^{\text{th}}$ term using the formula. $a_1 = 23$ (first term) $d = 16$ (common difference) $n = 84$ (term number) $a_{84} = 23 + (84 - 1) \times 16$
Perform Calculation: Perform the calculation. $\newline$ $a_{84} = 23 + (83 \times 16)$ $\newline$ $a_{84} = 23 + 1328$ $\newline$ $a_{84} = 1351$