Arithmetic Sequence :
Determine whether f(n) is an arithmetic sequence, circle yes or no . Identify the common difference .
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1. N 1 2 3 4 5
F(n). 2 4 6 8 10
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you can't look at the numbers 2,4,6,8,10 and see a common difference?
man, you gotta not be trying!
To determine whether f(n) is an arithmetic sequence, you can compare the differences between consecutive terms in the sequence.
In this case, the sequence is:
N: 1 2 3 4 5
F(n): 2 4 6 8 10
To find the common difference, you need to subtract each term in the sequence from its previous term. Let's calculate the differences:
2 - 1 = 1
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
10 - 8 = 2
Since the differences between each pair of consecutive terms are equal (2), we can conclude that f(n) is indeed an arithmetic sequence. The common difference is 2.