How do you find the explicit formula of the sequence #35,42,49,56#?

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Answer 1 · 2017-11-10T19:09:54

#7n+28#

This is an arithmetic sequence. The formula for the nth term of an arithmetic sequence is:

#a + (n-1)d#

Where #a# is the first term, #d# is the common difference and #n# is the nth term.

Common difference is:

#42-53=49-42=7#

So:

#35+(n-1)7=35+7n-7=7n+28#

Formula for the nth term is:

#7n+28#