Find the 81 st term of the arithmetic sequence -7,-22,-37,dots Answer:

Use nth term formula: 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.Identify first term: First, we identify the first term (a_1) of the sequence, which is -7.Find common difference: Next, we need to find the common difference (d). We can do this by subtracting the first term from the second term: d = -22 - (-7) = -22 + 7 = -15.Calculate 81st term formula: 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.Substitute values into formula: Substitute the known values into the formula: a_81 = -7 + (81 - 1)(-15).Simplify the equation: Simplify the equation: a_81 = -7 + 80(-15).Calculate the term: Calculate the term: a_81 = -7 - 1200.Final 81st term: Finally, we get the 81st term: a_81 = -1207.

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Find the 81 st term of the arithmetic sequence
-7,-22,-37,dots
Answer:

Find the $81$ st term of the arithmetic sequence $-7,-22,-37, \ldots$ $\newline$ Answer:

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Q. Find the

81

st term of the arithmetic sequence

-7,-22,-37, \ldots

\newline

Answer:

Use nth term formula: To find the $81^{st}$ 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.
Identify first term: First, we identify the first term $a_1$ of the sequence, which is $-7$ .
Find common difference: Next, we need to find the common difference $d$ . We can do this by subtracting the first term from the second term: $d = -22 - (-7) = -22 + 7 = -15$ .
Calculate $81$ st term formula: Now that we have the first term and the common difference, we can find the $81$ st term ( $a_{81}$ ) using the formula: $a_{$81$} = a_1 + ($81$ - $1$)d.
Substitute values into formula: Substitute the known values into the formula: $a_{81} = -7 + (81 - 1)(-15)$.
Simplify the equation: Simplify the equation: $a_{81} = -7 + 80(-15)$.
Calculate the term: Calculate the term: $a_{81} = -7 - 1200$.
Final $81$st term: Finally, we get the $81$st term: $a_{81} = -1207$.