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2 years ago

Find the greatest common factor of 10, 7, and 14.

Mathematics

2 answers:

SOVA2 [1]2 years ago

8 0

Answer:

there is none

Step-by-step explanation:

7 is a prime number. the gcf of 10 and 14 is 2, but the only factors of 7 are 1 and 7

dimaraw [331]2 years ago

8 0

Answer:

The greatest common factor for:

10: 1, 2, 5, 10

7: 1 and 7

14: 1, 2, 7 and 14

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Infinite over E n=1 4(0.5)^n-1

yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

$\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}$

We can also write in summation notation rather S-term as:

$\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}$

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

$\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}$

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0

2 years ago

Angels a and b are complementary but angle a is 4 times as large as angle b find angle a

Elodia [21]

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8 0

2 years ago

A square with side lengths of 3 cm is reflected vertically over a horizontal line of reflection that is 2 cm below the bottom ed

oksian1 [2.3K]

Answer:

a) 4 cm

b) 5 cm

c) 10 cm

Step-by-step explanation:

The side lengths of the reflected square are equal to the original, and the distance from the axis(2) also remains the same. From there, it is just addition.

Hope it helps <3

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2 years ago

Radical 5* radical 2

Setler [38]

Answer:

$\sqrt{10}$