Freeflows

Infinite Sequence Sum

Consider the infinite arithmetic sequence $ A $ with first term $ 5 $ and common difference $ -2 $. Now define the infinite sequence $ B $ so that the $ k^{th} $ term of $ B $ is $ 2 $ raised to the $ k^{th} $ term of $ A $. Find the sum of all of the terms of $ B $.

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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