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12345 [234]
2 years ago
14

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: S_{n}=\frac{a(1-r^{n})}{1-r} \\

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: S_{10}=\frac{-3(1-5^{10})}{1-5} = -7324218

<em>brainliest please :)</em>

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Multiply 3.25 by 100 then simplify 325%  The answer is D.
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#31 please help and show work thank you in advance
antiseptic1488 [7]
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6 0
3 years ago
Use the information given to answer the question. Vanessa and Moe record their quiz scores in music class for a semester. The do
Lorico [155]

Answer:

Vanessa records a total of <u>11</u> quiz scores

Moe records a total of <u>10</u> quiz scores

According to the data, Vanessa's mean score is 80

According to the data, Vanessa's median score is 85

The range of Moe's quiz score is 45

The interquartile range of Moe's quiz score is 16.25

Step-by-step explanation:

Vanessa's score is given in the dot plot

Moe's scores are; 75, 80, 90, 90, 95, 55, 100, 95, 85, 85

1) The number of quiz scores Vanessa records is given by the number of dots on the dot plot, n = 11 dots ≡ 11 quiz scores

2) The number of quiz scores Moe records is given by the number of data points, n = 10 data points ≡ 10 quiz scores

3) Vanessa's mean score = ∑x_i/n

∑x_i/n = (60 + 2× 65 + 75 + 4 × 85 + 2 × 90 +95)/11 = 80

Vanessa's mean score = 80

4) Vanessa's median score is the (11 + 1)/2 th score = Her 6th score = 85

Vanessa's median score = 85

5) The range of Moe's score = Her largest score - Her least score = 100 - 55 = 45

The range of Moe's score = 45

6) Sorting Moe's scores gives;

75, 80, 90, 90, 95, 55, 100, 95, 85, 85

55, 75, 80, 85, 85, 90, 90, 95, 95, 100

The first quartile, Q₁ = 11/4th score = 2.75th score = 75 + 0.75 × 5 = 78.75

The 3rd quartile, Q₃ = The 3/4×11 score = 8.25th score = 95 + 0.25 ×0 = 95

The interquartile range, I = Q₃ - Q₁ = 95 - 78.75 = 16.25

The interquartile range of Moe's quiz score = 16.25.

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Answer:

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Answer: 1.12 minutes


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