Find the value of n so that an+bnan+1+bn+1 may be the geometric mean between a and b.

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Find the value of {n} so that {{{a}^{{{n}+{1}}}+{b}^{{{n}+{1}}

Question

Find the value of $n$ so that $\frac{a ^{n + 1} + b ^{n + 1}}{a ^{n} + b ^{n}}$ may be the geometric mean between a and b.

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Alexander Discussed

Find the value of

n

so that

\frac{a ^{n + 1} + b ^{n + 1}}{a ^{n} + b ^{n}}

may be the geometric mean between a and b.

15 mins ago

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Question Text

Find the value of

n

so that

\frac{a ^{n + 1} + b ^{n + 1}}{a ^{n} + b ^{n}}

may be the geometric mean between a and b.