- A49
- B51
- C53
- D55
Step-by-Step Solution
The block is 43, 45, 47, 49, 51, 53, 55 — seven terms whose average is the middle term 49, giving ✓. The largest is 55. Stopping at 49 mistakes the middle term for the last one.
Answer: D) 55
The cube can be written as the sum of seven consecutive odd numbers beginning at 43. What is the largest odd number in that block?
Class 8Cubes and Cube RootsCubes and Roots
Key idea: Cube root of negative integers
Cube roots of negatives are real numbers (unlike square roots).
∛ = −∛.
Example: ∛(−125). . So ∛.
This is one place where square root and cube root behave differently — square roots of negatives are NOT real (they're imaginary, a Class 11 topic). Cube roots of negatives are perfectly normal.
∛ = −∛.
Example: ∛(−125). . So ∛.
This is one place where square root and cube root behave differently — square roots of negatives are NOT real (they're imaginary, a Class 11 topic). Cube roots of negatives are perfectly normal.
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