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Damm [24]
3 years ago
5

How are each term related to one another in the sequence 2,90,4,87,6,12,8,51,10 ?​

Mathematics
1 answer:
Setler [38]3 years ago
5 0
Every other number from the first, 3rd, 5th, ..etc it adds 2 for the next number.
For the 2nd, 4th, 6th, etc term, its supposed to be 90, 78, 65, 51?
If so, It started with -12 then -13 after that -14 find the next term, all you need to do is to -15 to the current number, which is 51. then you get 36
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Nat2105 [25]
Vertical angles congruence theorem, then SAS
4 0
3 years ago
Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note
Viktor [21]

a. Recall that

\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C

For |x|, we have

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

By integrating both sides, we get

\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0

so that

\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

We can shift the index to simplify the sum slightly.

\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n

b. The power series for x\ln(1-x) can be obtained simply by multiplying both sides of the series above by x.

\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n

c. We have

\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)

\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}

4 0
3 years ago
ות
Ulleksa [173]

Answer:

dont use this

Step-by-step explanation:

oinf+euiv=4

7 0
3 years ago
Ivana and Gloria are sisters. Gloria is
Marina CMI [18]

Answer:

11 years old

Step-by-step explanation:

3 years ago, Gloria was 32 years old

If Ivana's age is = x

Then, 4x = 32

            x = 8

3 years ago, Ivana was 8 years old

So now she is 11 years old.

4 0
3 years ago
Try again A light bulb consumes 5040 watt-hours in 3 days and 12 hours. How many watt-hours does it consume per day
White raven [17]

Answer:

1680 watt-hours

Step-by-step explanation:

consume per day

#carry on learning

5 0
2 years ago
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