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3 years ago

Which infinite geometric series can you NOT find the sum?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

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On New Years’s Eve, the temperate fell by 24 degrees in a span of 6 hours. By how many degrees did the temperature fall every ho

Novosadov [1.4K]

The temperature fell by 24 degrees in 6 hours. We need to find out how many degrees did the temperature fall every hour.

You can <u>divide</u> 24 with 6.

24 ÷ 6 = 4

Your answer is 4

hope this helps!

7 0

3 years ago

Find the value of x.

koban [17]

We have the similar triangles. Therefore the lengths of the sides are in proportion:

$\dfrac{x}{22}=\dfrac{42}{11+22}\\\\\dfrac{x}{22}=\dfrac{42}{33}\qquad\text{cross multiply}\\\\33x=(22)(42)\qquad\text{divide both sides by 33}\\\\x=\dfrac{(22\!\!\!\!\!\diagup^2)(42)}{33\!\!\!\!\!\diagup_3}\\\\x=\dfrac{(2)(42\!\!\!\!\!\diagup^{14})}{\not3_1}\\\\x=(2)(14)\\\\\boxed{x=28}$

8 0

3 years ago

Evaluate the function for x = –3. f(x) = 4x – 5

lbvjy [14]

If it makes it any easier, think of f(x) as y.
f(x)= 4(-3) -5
f(x) = -12 -5
f(x) = -17

3 0

3 years ago

10.) Write an equivalent expression to d+ d + d + W+W+W+W

rjkz [21]

Answer:

3d + 4w

Step-by-step explanation:

Since there are multiple of each variable, we can add like terms.

There are 3 d's, so adding these together gets you 3d

There are 4 w's, so this is equal to 4w.

Now, add these together to get the equivalent expression:

3d + 4w is the expression

5 0

3 years ago

Read 2 more answers

Which number line shows the solution of 5x-25<-15?<br> givning brainliest

Nata [24]

Answer:

x < 2

Step-by-step explanation:

5x-25<-15

Add 25 to each side

5x-25+25<-15+25

5x < 10

Divide by 5

5x/5 < 10/5

x < 2

Open circle at 2 line to left

6 0

2 years ago