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3 years ago

4. Does the following Infinite geometric series diverge or converge? Explain.

Mathematics

2 answers:

DaniilM [7]3 years ago

6 0

Answer:

1st term:3

second term:9

common ratio :9/3=3

since it is greater than 1.

so it increases 3times in each term

<u>It diverges; it does not have a sum.</u>

melamori03 [73]3 years ago

4 0

Answer:

It diverges; it does not have a sum.

Step-by-step explanation:

3, 9, 27, 81, ..

ratio = r = 9/3 = 3

since |r| ≥ 1, it diverges and doesn't have a sum

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Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)

igomit [66]

Answer:

$\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}$

Step-by-step explanation:

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0$

$a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}$

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3 years ago

7.5 x 18.74 show your work

FinnZ [79.3K]

7.5x18.74= 140.55 is the correct answer

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3 years ago

Bertie has just had a big win at the lotterey. He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money

SpyIntel [72]

Answer:

Total money = $30,00,000

Step-by-step explanation:

Given:

4/5 money spend on house

3/4 remaining money spend on luxury yacht

2/3 remaining money spend on trip to space

Remaining $50,000 to charity

Find:

Total money

Computation:

Assume Total money = x

So,

Spend on house = [4x/5]

Spend on luxury yacht = [x-4x/5]3/4 = 3x/20

Spend on trip to space = [x/5-3x/20]2/3 = x/30

Remaining money = x/20 - x/30 = x/60 = $50,000

So,

x/60 = $50,000

x = $300,000

Total money = $30,00,000

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3 years ago

What does 3,146 round to nearest thousand

Lisa [10]

3 is in the thousands
so the answer is 3000

4 0

3 years ago

Find the missing side length.

andrew11 [14]

So first of all you know that one side is 14cm and the other side is 6cm

What you would do is: 14-6=???

Your answer should be: 8cm

5 0

3 years ago