Find the 50 th term of the arithmetic sequence -30,-26,-22,dots Answer:

Use Formula: To find the 50th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is given by: \[ a_n = a_1 + (n - 1)d \] 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. From the given sequence (-30, -26, -22, ...), the first term $ a_1 $ is -30.Determine Common Difference: Next, we determine the common difference $ d $ by subtracting the first term from the second term: $ d = -26 - (-30) = -26 + 30 = 4 $.Find 50th Term: Now that we have the first term and the common difference, we can find the 50th term $ a_{50} $ using the formula: \[ a_{50} = a_1 + (50 - 1)d \] \[ a_{50} = -30 + (50 - 1) \times 4 \]Perform Calculation: We perform the calculation inside the parentheses first: \[ 50 - 1 = 49 \]Multiply and Add: Next, we multiply 49 by the common difference 4: \[ 49 \times 4 = 196 \]Finally, we add this result to the first term to find the 50th term: \[ a_{50} = -30 + 196 \] \[ a_{50} = 166 \]

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Find the 50 th term of the arithmetic sequence
-30,-26,-22,dots
Answer:

Find the $50$ th term of the arithmetic sequence $-30,-26,-22, \ldots$ $\newline$ Answer:

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Q. Find the

50

th term of the arithmetic sequence

-30,-26,-22, \ldots

\newline

Answer:

Use Formula: To find the $50$ th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence, which is given by: $\newline$ $a_n = a_1 + (n - 1)d$ $\newline$ 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. From the given sequence ( $-30$ , $-26$ , $-22$ , ...), the first term $a_1$ is $-30$ .
Determine Common Difference: Next, we determine the common difference $d$ by subtracting the first term from the second term: $d = -26 - (-30) = -26 + 30 = 4$ .
Find $50$ th Term: Now that we have the first term and the common difference, we can find the $50$ th term $a_{50}$ using the formula: $\newline$ $a_{50} = a_1 + (50 - 1)d$ $\newline$ $a_{50} = -30 + (50 - 1) \times 4$
Perform Calculation: We perform the calculation inside the parentheses first: $\newline$ $50 - 1 = 49$
Multiply and Add: Next, we multiply $49$ by the common difference $4$ : $\newline$ $49 \times 4 = 196$
Multiply and Add: Next, we multiply $49$ by the common difference $4$ : $\newline$ $49 \times 4 = 196$ Finally, we add this result to the first term to find the $50$ th term: $\newline$ $a_{50} = -30 + 196$ $\newline$ $a_{50} = 166$