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Question

Grace's exercise programme requires that she does 1 sit-up on the first day, 2 sit-ups on the second day, 6 sit-ups on the third day, 15 sit-ups one the fourth days and so on until she does at least 50 sit-ups each day. How many days must Grace exercise to reach her target of 50 sit-ups per day?​

Answer

7

  • Find an equation to represent the number of sit-ups Grace does each day. A: The number of sit-ups Grace does on the nth day can be represented by the equation n^2 + 1.
  • Solve for n in the equation n^2 + 1 = 50. A: n = 7.