Asked by Anonymous
                what is sum of 7 consecutive odd integers?
            
            
        Answers
                    Answered by
            Ms. Sue
            
    Which integers?
    
                    Answered by
            PsyDAG
            
    If x = smallest integer,
x + (x+2) + (x+4)… + (x+12) = ?
    
x + (x+2) + (x+4)… + (x+12) = ?
                    Answered by
            Steve
            
    sum of 1st 7 odds is 7^2 = 49
so, if you start with 2k+1 instead of 1, then each odd number is increased by 2k, so you wind up with 7*2k + 49
check: let k=5 and you have
11+13+15+17+19+21+23 = 119 = 7*10+49
    
so, if you start with 2k+1 instead of 1, then each odd number is increased by 2k, so you wind up with 7*2k + 49
check: let k=5 and you have
11+13+15+17+19+21+23 = 119 = 7*10+49
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