the first 5 tearms of a linear sequence
5,9,13,17,21
whats the next tear of sequence
Answers
Step-by-step explanation:
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Algebra
Identify the Sequence 5 , 9 , 13 , 17 , 21
55 , 99 , 1313 , 1717 , 2121
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 44 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1)an=a1+d(n-1).
Arithmetic Sequence: d=4d=4
This is the formula of an arithmetic sequence.
an=a1+d(n−1)an=a1+d(n-1)
Substitute in the values of a1=5a1=5 and d=4d=4.
an=5+(4)(n−1)an=5+(4)(n-1)
Simplify each term.
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an=5+4n−4an=5+4n-4
Subtract 44 from 55.
an=4n+1an=4n+1