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Find the 1ooth 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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Calculate mean, median, mode, and range

Full solution

Q. Find the

100

th term of the arithmetic sequence

18,31,44, \ldots

\newline

Answer:

Find Common Difference: Determine the common difference of the arithmetic sequence. The common difference $d$ can be found by subtracting the first term from the second term. $d = 31 - 18 = 13$
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 and $d$ is the common difference.
Substitute Values: Substitute the values into the formula to find the $100^{\text{th}}$ term. $a_{100} = 18 + (100 - 1) \times 13$
Perform Calculations: Perform the calculations. $\newline$ $a_{100} = 18 + (99 \times 13)$ $\newline$ $a_{100} = 18 + 1287$ $\newline$ $a_{100} = 1305$

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