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Someone please help me I'm struggling right now

Someone please help me I'm struggling right now-example-1
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User TobiX
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8.5k points

1 Answer

3 votes
If you look at the number of stars in each box you get:

2, 4, 6, 8

So this is an arithmetic sequence with a common difference with each term being 2 greater than the previous term.

Any arithmetic sequence can be expressed as:

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

In this case a=2 and d=2 so

a(n)=2+2(n-1) which can be simplified

a(n)=2+2n-2

a(n)=2n

So the fifth term in the sequence is:

a(5)=2(5)

a(5)=10

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