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3 years ago

11

Can the sum of two mixed numbers be equal to explain

1 answer:

mel-nik [20]3 years ago

8 0

Answer:no because mixed numbers need atleast a one and a fraction to be mixed number but if there was a fraction then it couldnt equal two because of the 1's

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

In the diagram, point O is the center of the circle. If<br> m∠ABC = 70°, what is m∠AOC?

marysya [2.9K]

I can’t see the picture I’m sorry if I can’t help you

6 0

3 years ago

Simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2

Ksju [112]

the answer is in the attachment

Hope it helps

3 0

2 years ago

Factor the expression.<br> X^2- 10xy + 24y?

lana66690 [7]

Answer:

The expression is not factorable with rational numbers. x^2-10xy + 24y

Step-by-step explanation:

7 0

3 years ago

Solve the following inequality for s. Write your answer in simplest form.

Doss [256]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8$

$\qquad \sf \dashrightarrow \: - 10 + 5(86) < - 4s - 5$

$\qquad \sf \dashrightarrow \: - 10 +430 < - 4s - 5$

$\qquad \sf \dashrightarrow \: 420 + 5 < - 4s$

$\qquad \sf \dashrightarrow \: 42 5 < - 4s$

$\qquad \sf \dashrightarrow \: 42 5 \div 4 < - s$

$\qquad \sf \dashrightarrow \: 106.25 < - s$

Inequalities change when it is multiplied by -ve number

$\qquad \sf \dashrightarrow \: - 106.25 > s$

3 0

1 year ago

Read 2 more answers