SOLUTION: 7. Ten children are standing in a line. Ryan wants to distribute some chocolates amongst these 10 children such that the first child in the line gets 4 chocolates and every subsequ

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Question 847528: 7. Ten children are standing in a line. Ryan wants to distribute some chocolates amongst these 10 children such that the first child in the line gets 4 chocolates and every subsequent child gets 3 chocolates more than the previous child. What is the total number of chocolates that Ryan distributes?

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
First child gets 4.
Second child gets 7... and so on.
nth child gets 4+(n-1)*3 or 3n+1 chocolates.
sum(1 to 10) of (3n+1)
3*sum(1 to 10) + 10
3+%2A+%28%2810%29%2811%29%2F2%29+%2B+10 note we used the closed form %28n%28n%2B1%29%29%2F2
3%2A+55+%2B+10+=+175