Even number are of the form 2n. The sum of this sequence is the average of the first and last terms times the number of terms.
So the first term is 2 and the 25th term is 50 so the sum is:
(2+50)(25/2)
52*12.5=650
The conjecture they wish you to make is that for n terms, the sum will be:
s=n(n+1)
And for 25 terms that would give you:
s=25*26=650
Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
brainly.com/question/1178790
Answer:
Segment LM Corresponds to RQ
Segment R corresponds to angle M