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Adding consecutive odd numbers gives cubes: $1 = 1^{3}, 3 + 5 = 8 = 2^{3}, 7 + 9 + 11 = 27 = 3^{3}$ . What is the sum 13 + 15 + 17 + 19?

Class 8Patterns in CubesCubes and Roots

A128
B58
C64
D70

Step-by-Step Solution

The next block of 4 consecutive odd numbers (13,15,17,19) sums to

4^{3} = 64

. Check: 13+15+17+19 = 64.

Answer: C) 64

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