Finding the nth Term of a Sequence In Exercises 45-52, write an expression for the nth term of the sequence and then determine whether the sequence you have chosen converges or diverges. (There is more than one correct answer.)
2, 8, 14, 20, …....
To calculate: The term of a sequence and whether the sequence converges or diverges.
Consider the sequence
Observe that the first term is 2.
Obtain the succeeding term by adding 6 to the previous term. This forms an arithmetic sequence with first term as 2 and the common difference as 6.
Hence, use the formula for term of the arithmetic sequence:
Therefore, the term of the sequence is
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