An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a sh
adow as shown. How long is the shadow you cast given the triangles shown are similar?
A. 3.83
B. 8.63
C. 11
A. 3.83
B. 8.63
C. 11
1 answer:
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- The first four terms are : 15000, 14850, 14700, 14550
- a = 15000 ; d = -150
- The explicit formula is :
The first term of the sequence, a = 15,000
Each subsequent winner gets $150 less
Hence, the common difference, d = - $150
The first four terms :
First term, a1 = $15000
Second term, a2 = a - d = $15000 - $150 = $14850
Third term, a3 = a2 - d = $14850 - $150 = $14700
Fourth term, a4 = a3 - d = $14700 - $150 = $14550
a, for the sequence is the first term = $15000
d, for the sequence is the common $150 (difference between successive wins).
Explicit formula for the general term :
For n = 1
Hence, the explicit formula for the nth term is :
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