Sum of series 5000n+60000

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  oo                  
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  )   (5000*n + 60000)
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n = 1

\sum_{n=1}^{\infty} \left(5000 n + 60000\right)

Sum(5000*n + 60000, (n, 1, oo))

The radius of convergence of the power series

Given number:

5000 n + 60000

It is a series of species

a_{n} \left(c x - x_{0}\right)^{d n}

- power series.
The radius of convergence of a power series can be calculated by the formula:

R^{d} = \frac{x_{0} + \lim_{n \to \infty} \left|{\frac{a_{n}}{a_{n + 1}}}\right|}{c}

In this case

a_{n} = 5000 n + 60000

and

x_{0} = 0

d = 0

c = 1

then

1 = \lim_{n \to \infty}\left(\frac{5000 n + 60000}{5000 n + 65000}\right)

True

False

The rate of convergence of the power series

The answer [src]

oo

\infty

oo

Numerical answer

The series diverges

The graph