Find the 81 st term of the arithmetic sequence 24,11,-2,dots Answer:

Identify first term: To find the 81st term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which 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 between the terms.Find common difference: First, we identify the first term (a_1) of the sequence, which is given as 24.Calculate 81st term: Next, we need to find the common difference (d). We can do this by subtracting the second term from the first term: d = 11 - 24 = -13.Substitute values: Now that we have the first term and the common difference, we can find the 81st term (a_81) using the formula: a_81 = a_1 + (81 - 1)d.Perform calculation: Substitute the known values into the formula: a_81 = 24 + (81 - 1)(-13).Multiply common difference: Perform the calculation inside the parentheses: 81 - 1 = 80.Add to first term: Now multiply the common difference by 80: 80 * (-13) = -1040.Finally, add this result to the first term: a_81 = 24 + (-1040) = -1016.

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Find the 81 st term of the arithmetic sequence
24,11,-2,dots
Answer:

Find the $81$ st term of the arithmetic sequence $24,11,-2, \ldots$ $\newline$ Answer:

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Q. Find the

81

st term of the arithmetic sequence

24,11,-2, \ldots

\newline

Answer:

Identify first term: To find the $81^{st}$ term of an arithmetic sequence, we need to use the formula for the $n^{th}$ term of an arithmetic sequence, which is $a_n = a_1 + (n - 1)d$ , where $a_n$ is the $n^{th}$ term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference between the terms.
Find common difference: First, we identify the first term $a_1$ of the sequence, which is given as $24$ .
Calculate $81^{st}$ term: Next, we need to find the common difference $(d)$ . We can do this by subtracting the second term from the first term: $d = 11 - 24 = -13$ .
Substitute values: Now that we have the first term and the common difference, we can find the $81^{\text{st}}$ term ( $a_{81}$ ) using the formula: $a_{81} = a_1 + (81 - 1)d$ .
Perform calculation: Substitute the known values into the formula: $a_{81} = 24 + (81 - 1)(-13)$ .
Multiply common difference: Perform the calculation inside the parentheses: $81 - 1 = 80$ .
Add to first term: Now multiply the common difference by $80$ : $80 \times (-13) = -1040$ .
Add to first term: Now multiply the common difference by $80$ : $80 \times (-13) = -1040$ .Finally, add this result to the first term: $a_{81} = 24 + (-1040) = -1016$ .