Freeflows

Arithmetic Sequence Modification

The terms of an arithmetic sequence add to $ 715 $. The first term of the sequence is increased by $ 1 $, the second term is increased by $ 3 $, the third term is increased by $ 5 $, and in general, the $ k $th term is increased by the $ k $th odd positive integer. The terms of the new sequence add to $ 836 $. Find the sum of the first, last, and middle terms of the original sequence.

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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