QuestionFind the common difference of the sequence: $-9,-15,-21,-27 \ldots$ A. 6 B. -6 C. -33 D. -24

Studdy Solution

STEP 1

Assumptions1. The given sequence is an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference of any two successive members is a constant. This constant is called the common difference.

STEP 2

To find the common difference of an arithmetic sequence, we subtract any term in the sequence from the term that follows it. $Common\, difference = Term_{n+1} - Term_{n}$

STEP 3

Now, let's plug in the values from the given sequence. We can use the first and second terms for this calculation.
$Common\, difference = -15 - (-9)$

STEP 4

implify the expression.
$Common\, difference = -15 +9$

STEP 5

Calculate the common difference.
$Common\, difference = -$ So, the common difference for this arithmetic sequence is -. The correct answer is B. -.

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QuestionFind the common difference of the sequence: $-9,-15,-21,-27 \ldots$ A. 6 B. -6 C. -33 D. -24

Studdy Solution

STEP 1

Assumptions1. The given sequence is an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference of any two successive members is a constant. This constant is called the common difference.

STEP 2

To find the common difference of an arithmetic sequence, we subtract any term in the sequence from the term that follows it. $Common\, difference = Term_{n+1} - Term_{n}$

STEP 3

Now, let's plug in the values from the given sequence. We can use the first and second terms for this calculation.
$Common\, difference = -15 - (-9)$

STEP 4

implify the expression.
$Common\, difference = -15 +9$

STEP 5

Calculate the common difference.
$Common\, difference = -$ So, the common difference for this arithmetic sequence is -. The correct answer is B. -.

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QuestionFind the common difference of the sequence: −9,−15,−21,−27…-9,-15,-21,-27 \ldots−9,−15,−21,−27… A. 6 B. -6 C. -33 D. -24

Studdy Solution

STEP 1

Assumptions1. The given sequence is an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference of any two successive members is a constant. This constant is called the common difference.

STEP 2

To find the common difference of an arithmetic sequence, we subtract any term in the sequence from the term that follows it.Common difference=Termn+1−TermnCommon\, difference = Term_{n+1} - Term_{n}Commondifference=Termn+1​−Termn​

STEP 3

Now, let's plug in the values from the given sequence. We can use the first and second terms for this calculation.Common difference=−15−(−9)Common\, difference = -15 - (-9)Commondifference=−15−(−9)

STEP 4

implify the expression.Common difference=−15+9Common\, difference = -15 +9Commondifference=−15+9

STEP 5

Calculate the common difference.Common difference=−Common\, difference = -Commondifference=−So, the common difference for this arithmetic sequence is -. The correct answer is B. -.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the common difference of the sequence: $-9,-15,-21,-27 \ldots$ A. 6 B. -6 C. -33 D. -24

To find the common difference of an arithmetic sequence, we subtract any term in the sequence from the term that follows it. $Common\, difference = Term_{n+1} - Term_{n}$

Now, let's plug in the values from the given sequence. We can use the first and second terms for this calculation.
$Common\, difference = -15 - (-9)$

implify the expression.
$Common\, difference = -15 +9$

Calculate the common difference.
$Common\, difference = -$ So, the common difference for this arithmetic sequence is -. The correct answer is B. -.