Sum of the consecutive odd numbers needed to obtain 5³ = 125 is:
A21 + 23 + 25 + 27 + 29
B11 + 13 + 15 + 17 + 19
C23 + 25 + 27
D31 + 33 + 35 + 37
Answer & Solution
Correct answer: A. 21 + 23 + 25 + 27 + 29
From the chapter's pattern: 1 = 1³
3+5 = 2³; 7+9+11 = 3³
13+15+17+19 = 4³; 21+23+25+27+29 = 5³ = 125. Each cube n³ is the sum of n consecutive odd numbers, picking up where the previous block ended.
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