SSAT Math Question 351: Answer and Explanation
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Question: 351
10. Lindsay is collecting quarters. She saves one quarter on the first day, two quarters on the second day, and three quarters on the third day. If this pattern continues, how much money will Lindsay have saved at the end of 14 days?
- A. $25.25
- B. $26.25
- C. $26.75
- D. $27.25
Correct Answer: B
Explanation:
The answer is B
The sum of a series of n consecutive numbers where S1 is the first number and Sn is the last number is given by the expression 
n. Thus, Lindsey will have saved 
14 = 105 quarters. Multiply 105 by $0.25: $26.25.
You can quickly write out the number of quarters she saves and add the numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 = 105. Multiply 105 by $0.25: $26.25.