Write the sum using summation notation, assuming the suggested pattern continues. 10  2 + 6 + 14 + ... + 110
Mathematics
Garfield10
Question
Write the sum using summation notation, assuming the suggested pattern continues. 10  2 + 6 + 14 + ... + 110
2 Answer

1. User Answers HomertheGenius
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. 
2. User Answers johndoe10101
The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen