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Anestetic [448]
3 years ago
9

Write a power that has a value greater than 140 and less than 145.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

Answer:

12^{2}

Step-by-step explanation:

To find: a power that has a value greater than 140 and less than 145

Solution:

Take x=12^{2}

Here,

12^{2}=144 and 140

That is 140

Therefore,

12^{2} has a value greater than 140 and less than 145.

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What is the sum of the infinite geometric series?<br><br> 120 + 20+ 10/3 + 5/9+...
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Answer:

for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

\frac{a_{1} }{1 - r} = \frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } = \frac{120 \times 6}{5} = 144.

Step-by-step explanation:

i) from the given series we can see that the first term is a_{1 } = 120.

ii) let the common ratio be r.

iii) the second term is 20 = 120 × r

   therefore r = 20 ÷ 120 = \dfrac{1}{6}

iv) the third term is \frac{10}{3} = 20 × r

    therefore r = \dfrac{10}{3} ÷ 20 = \dfrac{1}{6}

v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

\frac{a_{1} }{1 - r} = \frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } = \frac{120 \times 6}{5} = 144.

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