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3 years ago

Find the 9th term geometric sequence 1,1/2,1/2^2

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

Answer: $t_9=\dfrac{1}{2^8}$

<u>Step-by-step explanation:</u>

$t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}$

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Express in the simplest form 777:147

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Answer:

your answer should be 37:7

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 777 and 147 is 21

Divide both terms by the GCF, 21:

777 ÷ 21 = 37

147 ÷ 21 = 7

The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :

777 : 147 = 37 : 7

Therefore:

777 : 147 = 37 : 7

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Translate the phrase into a math expression. Twelve more than the quotient of six divided by three. Responses (6÷3)+12 eft paren

aleksandr82 [10.1K]

The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .

In the question ,

an mathematical phrase is given , that is "Twelve more than the quotient of six divided by three" .

we have to translate it into mathematical expression ,

So , the term quotient of six divided by three is written as 6 ÷ 3 .

and phrase " more " is represented by " + " ,

Hence the given phrase, "Twelve more than the quotient of six divided by three" is (6 ÷ 3) $+$ 12 .

Therefore , The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .

The given question is incomplete , the complete question is

Translate the phrase into a math expression , "Twelve more than the quotient of six divided by three" .

(a) (6÷3)+12

(b) 6÷(3+12)

(d) 3÷(6+12)

Learn more about Expressions here

brainly.com/question/7360128

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Step-by-step explanation:

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