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3 years ago

What is the 10th term of the sequence 64,16,4....?

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

Answer:

10th term of the sequence 64,16,4... = 1/4096

Step-by-step explanation:

Points to remember

nth term of GP is given by.

Tₙ = ar⁽ⁿ⁻¹⁾

Where r is the common ratio and a is the first term

<u>To find the 10th term of given GP</u>

It is given that,

64, 16, 4,......

a = 64 and 6 = 1/4 Here

T₁₀ = ar⁽ⁿ⁻¹⁾

= 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)

= 4³/4⁹ = 1/4⁶ = 1/4096

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3 years ago

On a farm there are some cows and some chickens if the animals have a total of 40 heads and 112 legs how many cows are there? ho

tankabanditka [31]

Answer:

There are 16 cows and 24 chickens in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there $x$ chickens AND,

there are $y$ number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

$x+y=40$ <--------- 1st equation

For the number of legs we can write,

$2x+4y=112$ <------ 2nd equation

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Multiply 1st equation by 2 and deduct it from 2nd equation to remove $x$

⇒ $2x+4y-2*(x+y)=112-80$

⇒ $2x+4y-2x-2y)=112-80$

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Therefore, there are 16 cows in the farm.

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Therefore, there are 24 chickens in the farm.

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3 years ago

Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Naddika [18.5K]

Answer:

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

Step-by-step explanation:

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This circle passes through the given three points, (1,7) , (8,6) and (7,-1).

Substitute (1,7) in (1),

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Substitute (8,6) in (1),

$8^{2} + 6^{2} +2\times g \times 8+2\times f\times 6 +c=0$

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Substitute (7,-1) in (1),

$7^{2} + (-1)^{2} +2\times g \times 7+2\times f\times (-1) +c=0$

14g - 2f + c = -50 ---------------(4)

Solving (2),(3) amd (4) simultaneously,

g = -4

f = -3

c = 0

Equation of circle is

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

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3 years ago

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4 years ago

Help please thank you!

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3 years ago

Read 2 more answers