All categories

3 years ago

What is the explict formula for the arithmetic sequence -7.5,-9,-10.5,-12

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

the explicit formula for the arithmetic sequence has the form

x = a + d(n−1)

a is the first term and d is the common difference

The given arithmetic sequence is

-7.5,-9,-10.5,-12

The first term is -7.5

d = common difference = -9 - (-7.5) = -1.5

∴ x = -7.5 - 1.5(n−1)

You might be interested in

Write 47 and 1000 as a decimal

Marrrta [24]

47 is equal to .47 and 1000 is equal to 1

have a great day ♡

8 0

3 years ago

Read 2 more answers

I’ll give thanks and five star and brainliest

Luba_88 [7]

QUESTION:

When you factor a little perfect square trinomial, which pattern results?

ANSWER:

[2] The square of a binomial pattern.

EXPLANATION:

<u>Squaring a binomial creates a perfect square trinomial</u>:–

(a + b)²
(a - b)²

8 0

2 years ago

Find the height and area of the equilateral triangle

sergejj [24]

As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;

${\boxed{\bf{Area_{(Equilateral\:\: Triangle)}=\dfrac{\sqrt{3}}{4}a^{2}}}}$

So, if we substitute a = 3, in our Formula, it will yield to

${:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(3)^{2}}$

${:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(9)}$

${:\implies \quad \boxed{\bf{Area_{(Equilateral\:\:Triangle)}=\dfrac{9\sqrt{3}}{4}\:\:cm^{2}}}}$

Now, as we know that, for any triangle we also have a formula that is ;

${\boxed{\bf{Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}}}$

Now, Here as the triangle is equilateral, so it's base will just be same 3, and if we let height be H, so we will be having

${:\implies \quad \sf \dfrac{1}{2}\times 3\times H=\dfrac{9\sqrt{3}}{4}}$

${:\implies \quad \sf H=\dfrac{9\sqrt{3}}{4}\times \dfrac23}$

${:\implies \quad \boxed{\bf{Height=\dfrac{3\sqrt{3}}{2}\:\:cm}}}$

3 0

2 years ago

The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.

almond37 [142]

Answer:

its 12.9cm on edg.

Step-by-step explanation:

8 0

2 years ago

Juan, Felix and Sasha went into partnership and opened their own restaurant. Their ownership in the partnership was in a ratio o

dexar [7]

Im not sure if this is right but all you have to do is divide $150,000 among Juan, Felix and Sasha

5 0

2 years ago