Answer is 14
Step by step explanation
The amount is same so
64+8w=92+6w
2w=92-64=28
w=14 => after 14 weeks
We call:

as the set of <span>the first 51 consecutive odd positive integers, so:
</span>

Where:





<span>and so on.
In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.
Then, the common difference is 2, thus:
</span>

<span>
Then:
</span>

<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:
There is a formula for arithmetic series, namely:
</span>

<span>
Therefore, we need to find:
</span>
Given that

, then:

Thus:

Lastly:
It's the value of
when
:

When
, the derivative/slope is 2, so the answer is C.
13 + 3i
15 - 6i - 2 + 9i → Sum
collect like terms
(15 - 2) + ( - 6i + 9i) =13 + 3i