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3 years ago

I. Direction: Write the following statement as equations. Write your answers

Mathematics

1 answer:

Bingel [31]3 years ago

4 0

Answer:

1. 4x - 29=11

2. (3x - 4) (2) = 46

3. 3/5x + 8 = 50

4. The difference of 51 and the sum of x and 5.

5. The product of 3 and y minus eight.

Step-by-step explanation:

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given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat

Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

$r=\frac{a_2}{a_1} = \frac{15}{5} = 3$

The explicit formula for geometric sequence is:

$a_n = a_1.r^{n-1}$

Putting the value of r and a_1

$a_n = 5.(3)^{n-1}$

Putting n=3 in the explicit formula

$a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45$

Putting n=10 for tenth term

$a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415$

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

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3 years ago

A professional hockey goal is 6 feet

Lemur [1.5K]

Answer:

Step-by-step explanation:

Just multiply

6×4=24 :)

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2 years ago

For what values of k does the graph of y=-2x^2+5x+k not cut the x axis

goldenfox [79]

The answer is 4 because there r three 3 2s

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2 years ago

Blank divided by ( blank +blank ) =1

Allushta [10]

Answer:

3 divided by (1+2)=1

Step-by-step explanation:

bc u do parthensis first so 1+2 is 3 therfore if u divide 3 by 3 gives u one

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3 years ago

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Ne4ueva [31]

Answer:

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Step-by-step explanation:

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3 years ago