match them up :)

exponential decay
recursive sequence
geometric sequence
exponential growth
arithmetic sequence

with

2, 9, 16, 23...
3, 15, 75, 375...
0, 4, 4, 8...
y = (1. 1)x
y = (1/4) x

Question

match them up :)

exponential decay
recursive sequence
geometric sequence
exponential growth
arithmetic sequence


with


2, 9, 16, 23...
3, 15, 75, 375...
0, 4, 4, 8...
y = (1. 1)x
y = (1/4) x

ranga · Answer

What patten do you see in this sequence: 2, 9, 16, 23...?
Hint: Take the difference of successive numbers.  That is, 9 -2 = ?
16 - 9 = ?, 23 - 16 = ?

anonymous · Answer

I know the difference in them but don't know the different names they match up with

ranga · Answer

In the first sequence the difference between two successive term is always the same and is equal to 7.  This is an arithmetic sequence.

ranga · Answer

Take the second sequence:  3, 15, 75, 375...
What is the pattern that you see?  How can you get the second term from the first term?
How can you get the third term from the second term?

anonymous · Answer

$$y = (1. 1)^x$$is exponential on account of the $x$ in the exponent
since $1.1>1$ this is exponential growth