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jeyben [28]
3 years ago
15

Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯

Mathematics
2 answers:
aksik [14]3 years ago
7 0

Answer:

Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯

Giving your answer as an interval, find all values of x for which the series converges.

Now assuming that x is in your interval above, find a simple formula for S(x).

Step-by-step explanation:

sergij07 [2.7K]3 years ago
5 0
Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯
Giving your answer as an interval, find all values of x for which the series converges.
Now assuming that x is in your interval above, find a simple formula for S(x).
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Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?
Anit [1.1K]

Answer:

\dfrac{p^{7} q}{160}

Step-by-step explanation:

\dfrac{(4p^-4 q)^-2}{10pq^-3} =

= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}

= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}

= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}

= \dfrac{1}{160}p^{7} q

= \dfrac{p^{7} q}{160}

4 0
2 years ago
Read 2 more answers
How many digits are in the repeating pattern of the repeating decimal 1.666666…?
Marysya12 [62]

Answer: b865e95e

Step-by-step explanation:

4 0
3 years ago
Solve by factoring. Check your answer.
Virty [35]
To factor, you split the equation so the factors multiply to get the whole equation.
(x-2)(x+2)

Then, interpret the factors.
The zeros can be found at (2,0) and (-2,0).
x=2, x=-2
3 0
3 years ago
Read 2 more answers
Two different squares have an areas of 36m° and 49m°
sleet_krkn [62]

The difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.

According to the question,

We have the following information:

Two different squares have an area of 36 square meters and 49 square meters.

We know that the following formula is used to find the area of square:

Area = side*side

Side*side = 36

Side = √36

Side = 6 m

Now, side of the another square:

Side*side = 49

Side = √49

Side = 7 m

Now, the difference in the length of the sides of these two squares:

7-6

1 m

Hence, the difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.

To know more about difference of the length here

brainly.com/question/20750630

#SPJ1

4 0
11 months ago
The difference of the squares of two consecutive integers is 21. find the integers.
photoshop1234 [79]
Let the two integers be x and x+1
(x+1)^2-x^2=21
x^2+2x+1-x^2=21
2x+1=21
2x=20
x=10
then x=10, x+1
10+1=11
the two integers are 10, 11
4 0
3 years ago
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