Garfield10
Garfield10 Garfield10
  • 01-02-2017
  • Mathematics
contestada

Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

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HomertheGenius
HomertheGenius HomertheGenius
  • 07-02-2017
This is the sum of the arithmetic sequence:
 10 - 2 + 6 + 14 + ... + 110
where:  a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n ) 
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.
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johndoe10101 johndoe10101
  • 28-09-2018

The answer is  summation of the quantity negative ten plus eight n from n equals zero to fifteen

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