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Thepotemich [5.8K]
2 years ago
10

Describe a pattern shown in this sequence, and use the pattern to find the next two terms.

Mathematics
2 answers:
Sindrei [870]2 years ago
7 0
This is an arithmetic sequence because each terms is a constant difference, called the common difference, from the term preceding it.  Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

d=39-31=31-23=23-15, etc=8, and we can see a=7 so

a(n)=7+8(n-1) which we can simplify

a(n)=8n-1, so the 6th and 7th terms are:

47 and 55
kotegsom [21]2 years ago
4 0
The pattern is adding 8 to the previous number. 
ex. 7+8=15, 15+8=23, 23+8=31, 31+8=39
Now for the next 2 terms:
39+8=47
47+8=55
Hope this helps!
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