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How can I prove that $7+7^2+7^3+...+7^{4n} = 100*a$ (while a is natural number)?

Published on
#sequences-and-series #induction
70
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McLaurin expansion

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#sequences-and-series #ordinary-differential-equations #derivatives #power-series #taylor-expansion
58
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Does this set contain zero?

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#sequences-and-series #elementary-set-theory
64
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Sum of the fractional series

Published on
#real-analysis #sequences-and-series
722
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Find a power series for $\frac{z^2}{(4-z)^2}$.

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#sequences-and-series #complex-analysis
416
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The radius of convergence of $\sum_{k \geq 0}c_k(z-z_0)^k$

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#sequences-and-series #complex-analysis
100
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A question on the liminf of a sequence

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#real-analysis #sequences-and-series #reference-request #limsup-and-liminf
64
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Largest value of sequence

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#sequences-and-series #algebra-precalculus #number-theory #optimization #ceiling-and-floor-functions
104
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Prove this inequality having a recursion of square roots?

Published on
#sequences-and-series #induction
40
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Smallest Cunningham chain of length $4$

Published on
#sequences-and-series #prime-numbers
95
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Find out if $\sum_{k=1}^{\infty}{\frac{k+1}{2^k}}$ converges

Published on
#real-analysis #sequences-and-series #analysis #convergence-divergence #fractions
215
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connection between $\limsup[a_n, b_n]$ and $[\limsup a_n, \limsup b_n]$

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#sequences-and-series #limsup-and-liminf
297
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Uniformly convergent sequence of quasiconformal mappings

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#sequences-and-series #complex-analysis #uniform-convergence #teichmueller-theory #quasiconformal-maps
76
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Sum the given series to infinity.

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#sequences-and-series #summation
60
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A confusing sequence of products

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#sequences-and-series #infinite-product

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