+299 State whether the sequence is an arithmetic sequence. If it is find the common difference, and graph the sequence. And find the equation of the sequence.
1. -8, -4, 0, 4 ..........
2. 2, 4, 8, 16 ..........
+129849 The first is definitely arithmetic
The common difference between terms is 4
The sequence can be expressed as
an+1 = an + 4 where a1 = - 8
I'm not used to finding an graph for these, but here's a possibilty
y = -8 + 4(x - !)
y = -8 + 4x - 4
y = 4x - 12
[ Where x is an integer...and x = 1 gives the 1st term, -8, x = 2 gives the 2nd term, -4.....etc .]
Here's the graph : https://www.desmos.com/calculator/pewqtw4vmg
The second is not arithmetic....the difference between 2 and 4 is 2......the difference between 8 and 4 is 4.......thus.....the common difference between terms is not constant as required in an arithmetic series
