Problema Solution
Use Gauss's approach to find the following sum(do not use formulas)What is the sum of the sequence:
3+8+13+18+...+68
Answer provided by our tutors
3+8+13+18+...+68 =
3 + 68 = 71
8 + 63 = 71
3 = 3 + 0*5
8 = 3 + 1*5
13 = 3 + 2*5
68 = 3 + 13*5
this means there are total of 14 numbers on the sequence: 3, 8, 13, 18,...,68
14/2 = 7
3+8+13+18+...+68 = 7*71 = 497
the sum of the sequence is 497.