# Am I right? (Sequences question)

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• Apr 3rd 2010, 01:18 PM
s3a
Am I right? (Sequences question)
The question is:
"Find a formula for the general term an of the sequence, assuming the pattern of the first few terms continues."
{2,7,12,17, ...}

The book's answer is:
a_n = 5n - 3

My answer is:
a_(n+1) = a_n + 5

So, am I right?

Any input would be greatly appreciated!
Thanks in advance!
• Apr 3rd 2010, 01:21 PM
pickslides
Quote:

Originally Posted by s3a
The question is:
"Find a formula for the general term an of the sequence, assuming the pattern of the first few terms continues."

How about posting the actual sequence?
• Apr 3rd 2010, 01:37 PM
s3a
Oops lol. (I updated it now)
• Apr 3rd 2010, 02:33 PM
Plato
Quote:

Originally Posted by s3a
The question is:
"Find a formula for the general term an of the sequence, assuming the pattern of the first few terms continues." {2,7,12,17, ...}

The book's answer is: a_n = 5n - 3

My answer is: a_(n+1) = a_n + 5

Your text book gave the closed form.

Your answer is in recursive form.
But in order for your answer to be complete, you must add \$\displaystyle a_1=2\$