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navik [9.2K]
3 years ago
11

Select the correct statement

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Consider the arithmetic series:
Serjik [45]
The sum of an Arithmetic Series is given as:

S_{n}= \frac{n}{2}(2a_{1}(n-1)*d)

where,
d = Common Difference = Difference of any two consecutive terms.
So,
d = 8

a1 = First term = 1

Using the values, we get:

S_{n}= \frac{n}{2}(2*1+(n-1)*8) \\  \\ 
 S_{n}= \frac{n}{2} (2+8n-8) \\  \\ 
 S_{n}= \frac{n}{2}(8n-6) \\  \\ 
 S_{n}=n(4n-3) \\  \\ 
 S_{n}==4n^{2}-3n

The above equation gives the formula for n terms of an Arithmetic Series.

So, option A is the correct answer
5 0
3 years ago
The angle turns through 1-9 of the circle
Diano4ka-milaya [45]
What does that mean I don't get it I will randomly guess 500000000
6 0
4 years ago
A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
zheka24 [161]

bottom right

Hope Your Thanksgiving Goes Well, Here's A Turkey

-TheKoolKid1O1

5 0
4 years ago
 For the equation 2n - 3 = 7
Stells [14]

Answer:

The variable is n

The coefficient is 2

And the solution to n is 10.

Step-by-step explanation:

The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7

5 0
3 years ago
Read 2 more answers
Find all solutions to the equation in the interval [0, 2π).
ANEK [815]

Answer:

x = π/6, π/2, 5π/6, 3π/2

Step-by-step explanation:

cos x = sin(2x)

Use double angle formula.

cos x = 2 sin x cos x

Move everything to one side and factor.

cos x − 2 sin x cos x = 0

cos x (1 − 2 sin x) = 0

Set each factor to 0 and solve.

cos x = 0

x = π/2, 3π/2

1 − 2 sin x = 0

sin x = 1/2

x = π/6, 5π/6

The total solution is:

x = π/6, π/2, 5π/6, 3π/2

6 0
4 years ago
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