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faltersainse [42]
3 years ago
11

How can X - 2/3 = 5/6

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

A.)

Step-by-step explanation:

You need to add 2/3 to both sides

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B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots

That is, we can write the sum more compactly as

\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n

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