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3 years ago

What is the 8th term of the arithmetic sequence with a first term of 7 and a common difference of -3?

Mathematics

2 answers:

lawyer [7]3 years ago

6 0

Answer:

-17 is the answer.

Step-by-step explanation:

Your starting point is 7.

Next you know that it goes down by 3.

Finally you are looking for the 8th term.

So in all it would look like this. -3(8) + 7

torisob [31]3 years ago

4 0

Answer:

$a_{8}$ = - 14

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = - 3, thus

$a_{8}$ = 7 + (7 × - 3) = 7 - 21 = - 14

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Help please and simplify answer in radical form if needed

deff fn [24]

Answer:

$16\sqrt{3}\:\mathrm{units^2}$

Step-by-step explanation:

The area of an equilateral triangle with side length $s$ is equal to $\frac{\sqrt{3}}{4}s^2$ . Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is $24\div 3=8$ units.

Substituting in this value, we get:

$\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}$

6 0

3 years ago

8) This cone and sphere have equal volumes. Find the radius Cone:32 radius Height:27

gizmo_the_mogwai [7]

sorry I don't know if I know I would surely say u

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3 years ago

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$