Looking at only 3 terms,
they are not in AP
they are not in GP
looking for some pattern:
8 = 4*2
20 = 4*5
52 = 4*13
I see nothing special about 2, 5, 13
2 = 1+1
5 = 4+1
13 = 12+1
still nothing
if p is the nth term
8+20+52+.....+p
evaluate the sum to n-of the series
plz show step
3 answers
There are lots of sequences that fit those three numbers. Possibly the simplest is a quadratic,
10x^2-18x+16
So,
p
∑ 10x^2-18x+16 = 2/3 p(5p^2-6p+13)
k=1
10x^2-18x+16
So,
p
∑ 10x^2-18x+16 = 2/3 p(5p^2-6p+13)
k=1
Of course, why didn't I think of that
2 data values --- linear
3 data values --- quadratic
4 data values --- cubic
etc
2 data values --- linear
3 data values --- quadratic
4 data values --- cubic
etc