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Elza [17]
2 years ago
9

Find the sum of the first 50 terms of the sequence -6, -2, 2, 6

Mathematics
1 answer:
monitta2 years ago
4 0

Answer:

4600

Step-by-step explanation:

STEP 1: Determine type of progression

d1 =  - 2 - ( - 6) \\ d1 = 4 \\  \\ d2 = 2 - ( - 2) \\ d2 = 4

Since d1 = d2, it is Arithmetic progression, with a common difference of 4

STEP 2: Evaluate the sum

s =  \frac{n}{2} (2a + (n - 1)d) \\ s =  \frac{50}{2} (2( - 6) + (50 - 1)4) \\ s = 4600

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Which expression is equivalent to -9-(-4 1/3)
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Note that two negatives = one positive

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-4 2/3 is your answer

hope this helps

3 0
3 years ago
Eric and Frank want to equally share 4/3 feet of rope. what length of rope should each friend get? explain how to use a drawing
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The rope is 1 and 1/3 long,1 is the same as saying 3/3,
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You can draw this in a diagram by drawing the 1 foot of rope, and then dividing it up into 3 sections. Then add the 1/3 foot of rope into the drawing. It should then be easy to see that altogether there are 4 separate sections of rope and that if each friend has two sections then they will be sharing equal amounts, so consequently each friend has two of the thirds of rope, 2/3

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3 years ago
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Natalka [10]

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It would be 4/16, so the answer is 1/4.
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