2, 5, 25/2 ,... Find the 9th term.

Mathematics

1 answer:

Cloud [144]2 years ago

8 0

Step-by-step explanation:

seems to be multiplication, because the differences between the numbers change.

so, let's find the factor.

2 × f = 5

f = 5/2

5 × f = 5 × 5/2 = 25/2

ok, the factor 5/2 is confirmed.

a1 = 2

a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5

a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2

an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)

a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =

= 390,625/128 = 3,051.7578125

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tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how

adelina 88 [10]

Answer:

23.3

(or $4\sqrt{34}$ (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

$a^{2} +b^{2} =c^{2}$

Insert values:

$12^{2} +20^{2} =c^{2}$

Solve for c:

Evaluate exponents

$144+400=c^2$

Simplify addition

$544=c^2$

Find the square root of both

$\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3$

The fence needs to be approximately 23.3 m.

5 0

3 years ago

Read 2 more answers

What is the quotient

GREYUIT [131]

What you must do for this case is to follow the following steps.
1) Rewrite the expression completely.
2) make a double c.
3) Factor each quadratic expression correctly.
4) cancel similar terms.
Answer:
2n
See attached images.