Find the 76 th term of the arithmetic sequence -26,-41,-56,dots Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. The common difference (d) is the difference between any two consecutive terms. For the given sequence: -41 - (-26) = -41 + 26 = -15Use 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 and d is the common difference.Calculate 76th term: Calculate the 76th term using the formula. a_76 = a_1 + (76 - 1)(-15) a_76 = -26 + 75(-15)Perform multiplication and addition: Perform the multiplication and addition to find the 76th term. a_76 = -26 + (75 * -15) a_76 = -26 - 1125 a_76 = -1151

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Q. Find the

76

th term of the arithmetic sequence

-26,-41,-56, \ldots

\newline

Answer:

Identify common difference: Identify the common difference in the arithmetic sequence. $\newline$ The common difference $d$ is the difference between any two consecutive terms. $\newline$ For the given sequence: $-41 - (-26) = -41 + 26 = -15$
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 and $d$ is the common difference.
Calculate $76$ th term: Calculate the $76$ th term using the formula. $\newline$ $a_{76} = a_1 + (76 - 1)(-15)$ $\newline$ $a_{76} = -26 + 75(-15)$
Perform multiplication and addition: Perform the multiplication and addition to find the $76^{\text{th}}$ term. $a_{76} = -26 + (75 \times -15)$ $a_{76} = -26 - 1125$ $a_{76} = -1151$