A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7
1 answer:
Based on the segment addition postulate, the length of GH is: 4 units.
<h3>What is the Segment Addition Postulate?</h3>The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.
- FG = 2 units
- FI = 7 units
- HI = 1 unit
- GH = ?
FI = FG + HI + GH [segment addition postulate]
7 = 2 + 1 + GH
7 = 3 + GH
7 - 3 = GH
4 = GH
GH = 4 units.
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The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
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or
a_n = -18+8n
The last term corresponds to
110 = -18+8n
128 = 8n
16 = n
So, the summation can be written as
a_n = -10 + 8(n-1)
or
a_n = -18+8n
The last term corresponds to
110 = -18+8n
128 = 8n
16 = n
So, the summation can be written as
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