WBJEE · Maths · Sequences and Series
For what value of \(m, \frac{a^{\mathbf{m}+1}+b^{\mathbf{m}+1}}{a^{\mathbf{m}}+b^{\mathbf{m}}}\) is the arithmetic mean of ' \(a\) ' and ' \(b\) '?
- A 1
- B 0
- C 2
- D None
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
\[ \text { Hints : } \begin{aligned} & \frac{a^{m+1}+b^{m+1}}{a^m+b^m}=\frac{a+b}{2} \\ m & =0 \text { Satisfy. } \end{aligned} \]
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