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Tasya [4]
3 years ago
14

Find the sum of the sequence. 42+43+44+45+...+107

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

4917

Step-by-step explanation:

<u>Given sequence: </u>

  • 42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

<u>Number of terms:</u>

  • 107 - 42 + 1 = 66

<u>Sum of the terms:</u>

  • Sₙ= 1/2*n*(a₁+aₙ)
  • Sₙ= 1/2*66*(42+107) =  4917

<u>Answer is:</u> 4917

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Step-by-step explanation:

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A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?
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3 0
4 years ago
−2(−3x+4)+3x−3=−29 what does x equal
gogolik [260]

Answer:

x = −2

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(−3x+4)+3x−3=−29

Step 1: Simplify both sides of the equation.

−2(−3x+4)+3x−3=−29

(−2)(−3x)+(−2)(4)+3x+−3=−29(Distribute)

6x+−8+3x+−3=−29

(6x+3x)+(−8+−3)=−29(Combine Like Terms)

9x+−11=−29

9x−11=−29

Step 2: Add 11 to both sides.

9x−11+11=−29+11

9x=−18

Step 3: Divide both sides by 9.

9x /9  =  −18 /9

x=−2

I hope this helps!!!

3 0
4 years ago
Read 2 more answers
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