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USPshnik [31]
4 years ago
11

Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

Mathematics
1 answer:
Shalnov [3]4 years ago
5 0
a_1=-8\\
r=5\\
a_n=67\\\\
a_n=a_1+(n-1)r\\
67=-8+(n-1)\cdot5\\
67=-8+5n-5\\
5n=80\\
n=16\\\\
\displaystyle
\sum_{i=1}^{16}(-8+(n-1)\cdot5)=\sum_{i=1}^{16}(-8+5n-5)=\boxed{\sum_{i=1}^{16}(5n-13)}
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Juli2301 [7.4K]

X=-b/2a is the formula for finding the axis of symmetry
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Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
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3 years ago
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answer <span>{-10, -9, -8}</span>
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