Find the 7th term in the following sequence: 1, 4, 7, 10, cdots ?

1 Answer
Alan P.
Sep 26, 2016

color(green)(19)

Explanation:

The sequence appears to be an arithmetic sequence with a difference between terms of color(blue)(3).

In general given a first term: color(red)(a_1)
and a difference between successive terms: a_n-a_(n-1)=color(blue)(d)

the nth term can be calculated as a_n=color(red)(a_0)+color(blue)(d) * (n-1)

Therefore the 7th term of the given sequence should be
color(white)("XXX")a_7=color(red)(1)+color(blue)(3) * (7-1) = 19

Related questions
See all questions in Equations that Describe Patterns
Impact of this question
8533 views around the world
You can reuse this answer
Creative Commons License