PSAT Math Multiple-Choice Practice Question 812
Question: 812
| n | Pattern |
| 1 | 1 |
| 2 | 1 + 3 |
| 3 | 1 + 3 + 5 |
| 4 | 1 + 3 + 5 + 7 |
| 5 | 1 + 3 + 5 + 7 + 9 |
The table above gives the values of a sum of the first n numbers, starting with 1. Which of the following is a correct statement about n?
Correct Answer: C
Explanation:
(C) Rewrite the table by calculating the actual sums:
| n | Pattern | Sum |
| 1 | 1 | 1 |
| 2 | 1 + 3 | 4 |
| 3 | 1 + 3 + 5 | 9 |
| 4 | 1 + 3 + 5 + 7 | 16 |
| 5 | 1 + 3 + 5 + 7 + 9 | 25 |
Each value in the "Sum" column is the corresponding value of n squared:
1 = 12 ; 4 = 22 ; 9 = 32 ; 16 = 42 ; 25 = 52
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