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Bumek [7]
3 years ago
12

What are the next two terms in the​ sequence? 2​, 14​, 26​, 38​, ...

Mathematics
2 answers:
poizon [28]3 years ago
7 0

Answer:

<h2>50, 62</h2>

Step-by-step explanation:

a(1)=2\\\\a(2)=a(1)+12=2+12=14\\\\a(3)=a(2)+12=14+12=26\\\\a(4)=a(3)+12=26+12=38\\\\a(5)=a(4)+12=38+12=50\\\\a(5)=a(5)+12=50+12=62

If you want the formula.

It's an arithmetic sequence with the first term 2 and common difference 12.

The explicit formula of an arithmetic sequence:

a(n)=a(1)+(n-1)d

<em>d</em><em> - common difference</em>

Substitute:

a(n)=2+(n-1)(12)        <em>use the distributive property</em>

a(n)=2+12n-12

a(n)=12n-10

ki77a [65]3 years ago
5 0

Answer:

50, 62

The drawing will help

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Answer:

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