What is 2/5 of 12930?
2 answers:
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Assuming the series is
The series will converge if
We have
So the series will certainly converge if
, but we also need to check the endpoints of the interval.
If
, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if
, by the alternating series test we can show that the series converges, since
and is strictly decreasing.
So, the interval of convergence for the series is
.
The series will converge if
We have
So the series will certainly converge if
If
On the other hand, if
and is strictly decreasing.
So, the interval of convergence for the series is
We can display the information given as an equation:
2000 *
= 4000; r = increase per annum
Now, we rearrange and solve for r:
= 2
r =![\sqrt[19]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B19%5D%7B2%7D%20)
= 1.037.....
We can now work out the increase for 5 years like so:
2000 *
= 2400.205..... ⇒ $2400
2000 *
Now, we rearrange and solve for r:
r =
We can now work out the increase for 5 years like so:
2000 *