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Black_prince [1.1K]
3 years ago
9

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values,

how many terms are in this geometric series
Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0

Answer:

There are 5 terms in the series.

Step-by-step explanation:

S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\

Take logs to get n = 5

aleksley [76]3 years ago
6 0

Answer:

5

Step-by-step explanation:

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Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ
IRINA_888 [86]

Answer:

The measure of the arc PJ is 75\°

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

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we have

m

substitute

m

m

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

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95\°=\frac{1}{2}(125\°+arc\ KJ)

190\°=(125\°+arc\ KJ)

arc\ KJ=190\°-125\°=65\°

step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

so

m

substitute the values

70\°=\frac{1}{2}(65\°+arc\ PJ)

140\°=(65\°+arc\ PJ)

arc\ PJ=140\°-65\°=75\°

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3 years ago
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What number will be multiplied to give -100 and be added to give 8​
andrew11 [14]

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Step-by-step explanation:

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Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.
stepladder [879]

Answer:

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Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

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4 years ago
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