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

1 Answer
Sep 26, 2016

Answer:

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

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