List the next three terms in the following sequence:

1, 2, 4, 7, 11, 16,...

Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191

Question

List the next three terms in the following sequence:

1, 2, 4, 7, 11, 16,...

Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191

xmissalycatx · Answer

There's a pattern if you look closely.. Starting with 1 you added 1 to it so you got 2..
When you had 2 you added 2 (so you got 4) 
When you had 4 you added 3..
So the pattern is +1   +2    +3     +4 and so on..

texaschic101 · Answer

find the differences between each number
1,2,4,7,11,16

difference between 1 and 2 is 1 space
difference between 2 and 4 is 2 spaces
difference between 4 and 7 is 3 spaces

you see a pattern here ?