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USPshnik [31]
3 years ago
11

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

Mathematics
1 answer:
Shalnov [3]3 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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