Instructions: Find the common difference of the arithmetic sequence.−5,−2,1,4,7−5,−2,1,4,7Common Difference:
Question
Instructions: Find the common difference of the arithmetic sequence.−5,−2,1,4,7−5,−2,1,4,7Common Difference:
Solution
The common difference of an arithmetic sequence is the difference between any two successive terms.
Here are the steps to find the common difference:
Step 1: Choose any two successive terms in the sequence. For example, let's take the first two terms: -5 and -2.
Step 2: Subtract the first term from the second term. So, -2 - (-5) = 3.
Therefore, the common difference of the arithmetic sequence -5, -2, 1, 4, 7 is 3. You can check this by subtracting each term from the next term in the sequence, and you will find that the difference is always 3.
Similar Questions
Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term?a = −7, d = 8an =
Instructions: Find the common difference of the arithmetic sequence.6.05,6.1,6.15,6.26.05,6.1,6.15,6.2Common Difference:
Write the next three terms of the arithmetic sequence. First term: $17$17 Common difference: $-9$−9The next three terms are , , and .
Find the first five terms of the sequence.an = 7 + 2na1 = a2 = a3 = a4 = a5 = Determine whether the sequence is arithmetic. If it is arithmetic, find the common difference d. (If the sequence is not arithmetic, enter DNE.)d = Express the nth term of the sequence in the standard form an = a + (n − 1)d. (If the sequence is not arithmetic, enter DNE.)
In an arithmetic sequence, the first term is 2 and the second term is 5.(a) Find the common difference. [2](b) Find the eighth term. [2](c) Find the sum of the first eight terms of the sequence.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.