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November 1, 2014

Homework Help: Math

Posted by Bhupendra on Friday, May 11, 2012 at 6:47am.

A sequence is called an arithmetic progression of the rst order if the
di erences of the successive terms are constant. It is called an arith-
metic progression of the second order if the di erences of the successive
terms form an arithmetic progression of the rst order. In general, for
k  2, a sequence is called an arithmetic progression of the k-th order
if the di erences of the successive terms form an arithmetic progression
of the (k 􀀀 1)-th order.
The numbers
4; 6; 13; 27; 50; 84
are the rst six terms of an arithmetic progression of some order. What
is its least possible order? Find a formula for the n-th term of this
progression.

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