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GarryVolchara [31]
3 years ago
12

Find S20 of the series whose first terms are: 30, 22, 14, 6, ...

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

- 920

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

d = 22- 30 = 14 - 22 = 6 - 14 = - 8

This indicates the sequence is arithmetic with sum to n terms given by

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 30 and d = - 8 , thus

S_{20} = \frac{20}{2} [ (2 × 30) + (19 × - 8) ]

     = 10(60 - 152)

     = 10 × - 92

     = - 920

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Which equation represents the vertical asymptote of the graph?
Annette [7]

The curve is  y equals 0 from negative x to negative y near x equals negative 8.

If a curve has Vertical Asymptote i.e the line x=p,it is never touched by the given curve.The curve remains almost parallel to the line x=p, till the end.The two i.e a line and curve will never meet each other.

→ x is almost equal to p but not p.

so in the denominator , it is x=-8,

Vertical Asymptote occurs when we put , denominator of curve=0.

so vertical asymptote of curve is : x= -8

8 0
3 years ago
Tickets to the concert were 2.50 for adults and 1.00 for students. 1,200 was collected and 750 tickets were sold.
Minchanka [31]

Answer:

I'm assuming you want to know the amount of child and adult tickets sold. 450 student tickets were sol, and 300 adult tickets.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

3 0
3 years ago
Assume that there are 365 days in a year, the probability that a person is born on any given day is the same for all days, and e
Artemon [7]

Answer:

Step-by-step explanation:

If each day equal chance then p = Prob that a person is borne on a particular day = 1/365

Each person is independent of the other and there are two outcomes either borne in July or not

p = prob for one person not borne in July = (365-31)/365 = 334/365

a)Hence prob that no one from n people borne in July = (\frac{334}{365} )^n

b) p = prob of any one borne in July or Aug = \frac{(31+31) }{365} =\frac{62}{365}=0.1698

X- no of people borne in July or Aug

n =15

P(X>=2) =15C2 (0.1698)^2*(1-0.1698)^{13} +15C3 (0.1698)^3*(1-0.1698)^{12} +...+15C15 (0.1698)^{15}

=0.7505

3 0
3 years ago
Will mark brainliest
Ksenya-84 [330]

Answer:

Plan A

Step-by-step explanation:

Plan A costs 62.5

Plan B costs 65

Please help me by marking me brainliest. I'm one away :)

7 0
3 years ago
What is the range? 6 7 8 7 10​
jeka94
Range= 4

Range is the highest number minus the lowest number, 10-6=4
4 0
3 years ago
Read 2 more answers
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