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3 years ago

Which sequences are geometric? Check all that apply.

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

1, 5, 25, 125, ...

3, 6, 12, 24, ...

Step-by-step explanation:

<em>a geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio</em>

1, 5, 25, 125, ...

yes, the common ratio is 5

3, 6, 9, 12,...

3, 6, 12, 24, ...

yes, the common ratio is 2

3, 9, 81, 6, 561, ...

10, 20, 40, 60, ...

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Solve for xxx. Write the smaller solution first, and the larger solution second.

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Answer:

$x=-5\text{ or }x=2$

Step-by-step explanation:

We have been given an equation $x^2+3x-10=0$ . We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is $-10$ and whose sum is 3.

We know that such two numbers are $5\text{ and }-2$ .

$x^2+5x-2x-10=0$

$(x^2+5x)+(-2x-10)=0$

$x(x+5)-2(x+5)=0$

$(x+5)(x-2)=0$

Using zero product property, we will get:

$(x+5)=0\text{ or }(x-2)=0$

$x+5=0\text{ or }x-2=0$

$x=-5\text{ or }x=2$

Therefore, the solutions for our given equation are $x=-5\text{ or }x=2$ .

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