Find the 11th term of the arithmetic sequence -5x+9,-7x+2,-9x-5,dots Answer:

Find Common Difference: To find the 11th term of the arithmetic sequence, we first need to determine the common difference (d) of the sequence. We can do this by subtracting the first term from the second term. Calculation: (-7x + 2) - (-5x + 9) = -7x + 2 + 5x - 9 = -2x - 7Use Arithmetic Sequence Formula: Now that we have the common difference, we can find the nth term of an arithmetic sequence using the formula: nth term = a1 + (n - 1)d where a1 is the first term and d is the common difference. We will use this formula to find the 11th term.Substitute Values: Substitute the values into the formula to find the 11th term. a1 = -5x + 9, d = -2x - 7, and n = 11. Calculation: 11th term = (-5x + 9) + (11 - 1)(-2x - 7)Simplify Expression: Simplify the expression to find the 11th term. Calculation: 11th term = (-5x + 9) + 10(-2x - 7) = -5x + 9 - 20x - 70 = -25x - 61

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Find the 11th term of the arithmetic sequence
-5x+9,-7x+2,-9x-5,dots
Answer:

Find the $11$ th term of the arithmetic sequence $-5 x+9,-7 x+2,-9 x-5, \ldots$ $\newline$ Answer:

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Q. Find the

11

th term of the arithmetic sequence

-5 x+9,-7 x+2,-9 x-5, \ldots

\newline

Answer:

Find Common Difference: To find the $11^{\text{th}}$ term of the arithmetic sequence, we first need to determine the common difference ( $d$ ) of the sequence. We can do this by subtracting the first term from the second term. $\newline$ Calculation: $(-7x + 2) - (-5x + 9) = -7x + 2 + 5x - 9 = -2x - 7$
Use Arithmetic Sequence Formula: Now that we have the common difference, we can find the $n$ th term of an arithmetic sequence using the formula: $\newline$ $\text{nth term} = a_1 + (n - 1)d$ $\newline$ where $a_1$ is the first term and $d$ is the common difference. We will use this formula to find the $11$ th term.
Substitute Values: Substitute the values into the formula to find the $11^{th}$ term. $\newline$ $a_1 = -5x + 9$ , $d = -2x - 7$ , and $n = 11$ . $\newline$ Calculation: $11^{th}$ term = $(-5x + 9) + (11 - 1)(-2x - 7)$
Simplify Expression: Simplify the expression to find the $11^{\text{th}}$ term. $\newline$ Calculation: $11^{\text{th}}$ term = $(-5x + 9) + 10(-2x - 7) = -5x + 9 - 20x - 70 = -25x - 61$