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3 years ago

What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

First term: 3

Exiplicit formula:

$3/5*5^n$ or 3x5^n-1

Hope this helps!

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Step-by-step explanation:

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3 years ago

HELP ASAP (show work please)

adelina 88 [10]

180= x+24+6x+18+2x+30
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3 years ago

I AM IN DESPERATE NED OF QUICK HELP PLEASEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!

rosijanka [135]

Answer:

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

$(a + b)^2 = a^2 + 2ab + b^2$

$(a - b)^2 = a^2 - 2ab + b^2$ this is the formula we will use because the signs match the one in the question.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

$(v - x)^2 = v^2 -8v + x^2$

this is the setup for being able to solve for the unknown $x$ , now we need to solve for $x$ .

$(v - x)^2 = v^2 - 8v + x^2$ (I replaced $2ab$ with $8v$ because I'm setting up this question to be a perfect square).

$(v - x) (v - x) = v^2 - 8v + x^2$

multiply the left side. Remember that your answer will not be $v^2 + x^2$ , but $v^2 - 2vx +x^2$ .

$v^2 - 2vx + x^2 = v^2 + 8v + x^2$

Divide like terms and isolate the variable. In this case, $v^2$ and $x^2$ are on both sides, so dive them and they will be canceled out.

$2vx = 8v$

divide by $2v$ and you will have your value for $x$ .

$x = 4$

Now we plug $x$ into our original equation equation for perfect squares.

$(v - 4)^2 = v^2 - 8v + 16$

Our final answer is 16.

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4 years ago

Enter in the missing numbers to create equivalent ratios.

Westkost [7]

Answer specify

Step-by-step explanation:

Don’t know

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One location of The Smart Growing Preschool has 22 children in the primary class and 18 children in the toddler class. The other

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1st location-
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4 years ago

Read 2 more answers

What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875​

What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875