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anonymous

  • 4 years ago

How would i do this problem: It says The total number of lights in a triangular rig with n rows is given by the function T(n) as given. Find the number of lights in triangular rigs with 1 to 10 rows. T(n)=1/2n^2+1/2n

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  1. phi
    • 4 years ago
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    It sounds like 10 separate problems substitute 1 for n in the formula to get T(1) =0.5 * 1^2 + 0.5*1 = 0.5+ 0.5 = 1 do the same for n=2,3,...10

  2. anonymous
    • 4 years ago
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    oh okay!(:

  3. phi
    • 4 years ago
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    |dw:1328561224733:dw| you could also count them, but that would be tedious

  4. anonymous
    • 4 years ago
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    wait, how would i find out like the next three.. im stuck?

  5. phi
    • 4 years ago
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    I would use the formula. I'll do T(2). Pay attention! T(2) = 0.5 * 2*2 + 0.5*2 = 2+1 = 3 (which matches the picture) try T(3) = 0.5*3*3 + 0.5*3 this is multiply and add.

  6. anonymous
    • 4 years ago
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    okay! thank you(:

  7. anonymous
    • 4 years ago
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    did u eva figure out the awnser?

  8. phi
    • 4 years ago
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    T(n)=(1/2)n^2+(1/2)n T(10)= 0.5*10*10+ 0.5*10 = 0.5*100+5 = 50+5 = 55

  9. anonymous
    • 4 years ago
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    A lighting rig is a large bank of lights that creates lighting effects at concerts and sporting events. A company makes rigs with lights arranged in polygonal patterns. For example, a triangular rig may have 1, 3, 6, 10, or 15 lights, depending on its size. Analyze and answer the related problems. The total number of lights in a triangular rig with n rows is given by the function T(n) as given. Find the number of lights in triangular rigs with 1 to 10 rows. T(n)=1/2n^2+1/2n a. 1, 3, 6, 10, 15, 22, 29, 37, 46, 56 b. 1, 3, 6, 10, 15, 20, 25, 30, 35, 40 c. 1, 3, 6, 10, 13, 16, 20, 23, 26, 30 d. 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 wud it be D??

  10. anonymous
    • 4 years ago
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    T(n) is the total number of lights in a triangular lighting rig of n rows, as shown. Which polynomial function represents T(n + 1)? T(n)=1/2n^2+1/2n

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