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VLD [36.1K]
3 years ago
8

1/y = -3x/2+ 3 and rewrite it in the form of y = p/ q+x

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

1/y = -3x /2 + 3

mulytiply each term by 2y:-

2 = -3xy + 6y

y = 2 / -3( (x - 2)

y = -0.667 (-2 + x)

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Which geometric series converges?
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Option (1)

Step-by-step explanation:

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For |r| < 1, series will converge.

For |r| > 1, series will diverge.

Option (1)

Given geometric series is,

\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......

Common ratio = \frac{\frac{1}{4}}{\frac{1}{2} }

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Since, \frac{1}{2}

Series will converge.

Option (2)

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Since, 2 > 1,

Series will diverge.

Option (3)

\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......

Common ratio 'r' = \frac{\frac{3}{2} }{\frac{1}{2} }=3

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Series will diverge.

Option (4)

\frac{1}{2}+3+18+108+.....

Common ratio 'r' = \frac{3}{\frac{1}{2}}=6

Since, 6 > 1

Series will diverge.

Therefore, Option (1) will be the correct option.

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