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By applying Segment Addition Postulate, segment FH is equal to 24 units.
<h3>What is a point?</h3>A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.
<h3>What is a line segment?</h3>A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
<u>Given the following data:</u>
- Line segment FG = 37.
- Segment HG = 13.
Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:
FG = HG + FH
37 = 13 + FH
FH = 37 - 13
FH = 24 units.
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Complete Question:
Given that line segment FG = 37 and segment HG = 13, find segment FH.
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
