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:
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
Answer:
7y + 5z + 10
Step-by-step explanation:
2y + 7z - 2z + 4y + 8 + y + 2
Like terms are terms that have the same variable part.
2y, 4y, y are like terms (remember that y is the same as 1y when you add)
7z, -2z are like terms
8, 2 are like terms
2y + 7z - 2z + 4y + 8 + y + 2 =
= 2y + 4y + y + 7z - 2z + 8 + 2
= 7y + 5z + 10
Answer:
<u>Nvgjvfknh</u>
Step-by-step explanation:
Answer: -9z + 15/x^2
The correct answer is -9z + 15/x^2 when simplified
<em>Hope this helps =)</em>