Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, D.

N: 1 2 3 4
f(n): 10 12 14 16

Arithmetic sequence:
Common Difference:

Question

Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, D. 

N:     1    2     3    4
f(n):  10  12  14  16

Arithmetic sequence: 
Common Difference:

tkhunny · Answer

Well, is it?

directrix · Answer

Arithmetic Sequence

A sequence such as 1, 5, 9, 13, 17, ... which has a constant difference between terms. 

The finite sequence 10  12  14  16
has a constant difference of 2 between adjacent terms so it is an Arithmetic sequence.

@PECKCE

tkhunny · Answer

N:     1    2     3    4
f(n):  10  12  14  16

Subtract successive values:

12 - 10 = 2
14 - 12 = 2
16 - 14 = 2

It's not overwhelming evidence, but it's a pretty good hint that it is an arithmetic sequence and the common difference is 2.

anonymous · Answer

That what I though just was unsure. thank you guys.