What are the next two numbers in the sequence #2, 6, 11, 17#?

1 Answer
Sep 23, 2016

#2,6,11,17,24,32,41#

Explanation:

The next two numbers would be just any pair, because always we could find a law to ensure such sequence.

The most problable would be

#2, 2+4=6,6+5=11, 11+6=17,17+7=24,24+8=32,32+9=41#

Given

#a_0=-1#

then

#a_1=a_0+1#
#a_2=a_1 +2#
#a_3=a_2+3#
#a_4 = a_3 + 4#
#cdots#
#a_k = a_(k-1)+k#