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sashaice [31]
2 years ago
9

Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms

Mathematics
1 answer:
bija089 [108]2 years ago
4 0

Answer:

<em> (n - 1)/2</em>

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

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Find the similarity ratio and the ratio of the perimeters of two regular octagons with areas of 18 in2 and 50 in2.
Brums [2.3K]
By definition we have that the area of a regular octagon is:
 A = 4.83L ^ 2
 Where, L is the length of the octagon side.
 the similarity ratio = the area ratio.
 We have then:
 similarity ratio = (50) / (18) = 25/9.
 the ratio of the perimeters
 A1 = 4.83L1 ^ 2
 L1 ^ 2 = A1 / 4.83
 L2 ^ 2 = A2 / 4.83
 L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
 L1 / L2 = 5/3
 The perimeter is:
 P1 = 8L1
 P2 = 8L2
 P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
 answer:
 similarity ratio:
 25: 9
 the ratio of the perimeters:
 5: 3
4 0
3 years ago
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12) A family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20. Write an expression that rep
charle [14.2K]

Answer:

80n+20=total cost

Step-by-step explanation:

We don't know the value of n, but we don't need it for an expression. We know that the family has to pay $80 per night that they stay at the hotel. Modeling this would look like: 80n (80*n for nights). Also, we know that the family MUST pay a $20 fee. So, we can add that on to the expression to look like this, 80n+20=total cost.

Hope this helps!

Have a nice evening.

8 0
3 years ago
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Answer:

1/36

Step-by-step explanation:

Since Tess rolled 2 different dices, there are 36 different possibilities. Rolling two 4's is 1 of them.

Therefore, the probability of Tess rolling 2 fair dice is 1/36

Hope this helped have a great rest of your day!

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