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Lostsunrise [7]
3 years ago
6

Find the 15th term of the geometric sequence 2, 6, 18,...

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

<h3>           a₁₅ = 9 565 938</h3>

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938

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Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

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x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

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Isolate radical on the left hand side

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4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

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This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

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4 years ago
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