Find the 100 th term of the arithmetic sequence 18,31,44,dots Answer:

Identify Common Difference: Identify the common difference in the arithmetic sequence. To find the common difference, subtract the first term from the second term. 31 - 18 = 13 Common Difference: 13Use Formula for nth Term: Use the formula for the nth term of an arithmetic sequence. The formula 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.Substitute Values: Substitute the known values into the formula to find the 100th term. a_100 = 18 + (100 - 1) * 13Perform Calculations: Perform the calculations. a_100 = 18 + (99 * 13) a_100 = 18 + 1287 a_100 = 1305

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Find the 100 th term of the arithmetic sequence
18,31,44,dots
Answer:

Find the $100$ th term of the arithmetic sequence $18,31,44, \ldots$ $\newline$ Answer:

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Q. Find the

100

th term of the arithmetic sequence

18,31,44, \ldots

\newline

Answer:

Identify Common Difference: Identify the common difference in the arithmetic sequence. $\newline$ To find the common difference, subtract the first term from the second term. $\newline$ $31 - 18 = 13$ $\newline$ Common Difference: $13$
Use Formula for nth Term: Use the formula for the nth term of an arithmetic sequence. $\newline$ The formula 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.
Substitute Values: Substitute the known values into the formula to find the $100^{\text{th}}$ term. $a_{100} = 18 + (100 - 1) \times 13$
Perform Calculations: Perform the calculations. $\newline$ $a_{100} = 18 + (99 \times 13)$ $\newline$ $a_{100} = 18 + 1287$ $\newline$ $a_{100} = 1305$