A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
Learn more about Geometrical Series:
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The gometric means G1, G2, G3, 1/4
Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)
Answer:
1.2
Step-by-step explanation:
1.2/3 is 40 percent
2/5 is 40 percent
used guess and check took me 1 minute
Answer:
1) 30
2) 60
Step-by-step explanation:
1. 90 + 2x + x = 180
solve for x
x = 30
plug in 30 for x
<em>hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe</em>
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