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1974 AMC 12 Question 29

AMC12 · 1974 AMC 12

Question 29

For $p=1,$ $2,$ $\ldots,$ $10$ let $S_p$ be the sum of the first $40$ terms of the arithmetic progression whose first term is $p$ and whose common difference is $2p-1;$ then $S_1+S_2+\cdots+S_{10}$ is
  1. $80{,}000$
  2. $80{,}200$
  3. $80{,}400$
  4. $80{,}600$
  5. $80{,}800$