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Alex17521 [72]
3 years ago
6

ALGEBRA 2 HELP PLEASE!

Mathematics
1 answer:
Tanya [424]3 years ago
4 0
Pls. see attachment. I created that table for easy monitoring and understanding. 

Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.

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derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

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S=an+an−1+an−2+an−3+...+a1

S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d]   →   Equation (2)

Add Equations (1) and (2)
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2S=n(a1+an)
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S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
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