SOLUTION: 1- find the sum of the positive four digit odd integers 2- write in sigma notation 12+3+3/4+3/16+3/64

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Question 795588: 1- find the sum of the positive four digit odd integers
2- write in sigma notation 12+3+3/4+3/16+3/64
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1- the sum of the positive four digit odd integers:
Let x be and odd number. Then x, x%2B2,x%2B4,x%2B6 are four consecutive odd numbers, and their sum is
x%2B%28x%2B2%29%2B%28x%2B4%29%2B%28x%2B6%29=4x%2B12
2- write in sigma notation 12%2B3%2B3%2F4%2B3%2F16%2B3%2F64
the general formula for this sequence is a%5Bn+%5D=+3%2A4%5E%282-n%29 (for n=1,2,....)
you have five terms, so n starts with one and ends with five
sum%283%2A4%5E%282-n%29%2Cn=1%2Cn=5%29=12%2B3%2B3%2F4%2B3%2F16%2B3%2F64=15%2B%2863%2F64%29