For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula
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<h3>What is number series?</h3>
When the numbers are arranged in a series with some logic then it is called as the number series.
here we have a series:

The sum of the series will be given as:


Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula 
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13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
Answer:
y= f(x)-5
Step-by-step explanation:
y=f(x) moves 5 to the right
Answer: 1575
Step-by-step explanation:
Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441
Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)
441 + 1134 = 1575