Given the sequence: 2, 8, 14, 20, ...
The given sequence is an arithmetic sequence. The sequence is arithmetic because the common difference between each term is 6.
In this sequence the common difference is 6, therefore let d=6. The first term, a_1 is 2, therefore let a_1=2 .
The formula to find the nth term of an arithmetic sequence is
a_n=a_1+(n-1)d
Substitute in the a_1 and d then simplify the expression.
a_n=2+(n-1)(6)
a_n=2+6n-6
a_n=6n-4
Final Answer:
The expression for the nth term of the sequence is a_n=6n-4.
Monday, July 20, 2015
2,8,14,20,... Write an expression for the n'th term of the sequence. (There is more than one correct answer.)
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