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prisoha [69]
3 years ago
5

The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6-2=4  not equal to  d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3    equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3    

<u>Explicit rule:</u> a(n)=2*(3)^(n-1)

<u>Recursive rule:</u>  a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO:  a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

<em>I really hope this helps <3</em>

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