Find the 5^("th ") term of the arithmetic sequence -3x+7,-7x+3,-11 x-1,dots Answer:

Find Common Difference: To find the 5th term of an arithmetic sequence, we need to determine the common difference between the terms and then 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, and d is the common difference.Calculate Common Difference: First, let's find the common difference (d) by subtracting the first term from the second term. d = (-7x + 3) - (-3x + 7) d = -7x + 3 + 3x - 7 d = -4x - 4Find 5th Term: Now that we have the common difference, we can find the 5th term (a_5) using the formula: a_5 = a_1 + (5 - 1)d a_5 = (-3x + 7) + 4(-4x - 4)Calculate 5th Term: Let's calculate the 5th term: a_5 = -3x + 7 + 4(-4x - 4) a_5 = -3x + 7 - 16x - 16 a_5 = -19x - 9

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Find the
5^("th ") term of the arithmetic sequence
-3x+7,-7x+3,-11 x-1,dots
Answer:

Find the $5^{\text {th }}$ term of the arithmetic sequence $-3 x+7,-7 x+3,-11 x-1, \ldots$ $\newline$ Answer:

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Q. Find the

5^{\text {th }}

term of the arithmetic sequence

-3 x+7,-7 x+3,-11 x-1, \ldots

\newline

Answer:

Find Common Difference: To find the $5^{th}$ term of an arithmetic sequence, we need to determine the common difference between the terms and then 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, and $d$ is the common difference.
Calculate Common Difference: First, let's find the common difference $d$ by subtracting the first term from the second term. $d = (-7x + 3) - (-3x + 7)$ $d = -7x + 3 + 3x - 7$ $d = -4x - 4$
Find $5$ th Term: Now that we have the common difference, we can find the $5$ th term $a_5$ using the formula: $\newline$ $a_5 = a_1 + (5 - 1)d$ $\newline$ $a_5 = (-3x + 7) + 4(-4x - 4)$
Calculate $5$ th Term: Let's calculate the $5$ th term: $\newline$ $a_5 = -3x + 7 + 4(-4x - 4)$ $\newline$ $a_5 = -3x + 7 - 16x - 16$ $\newline$ $a_5 = -19x - 9$