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adell [148]
2 years ago
13

Need help with geometric sequences 30 points

Mathematics
1 answer:
NeTakaya2 years ago
8 0

Answer:

a_{n} = 6(5)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 6 and r = 30 ÷ 6 = 5, thus

a_{n} = 6(5)^{n-1}

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Please help, will mark!!
Temka [501]

Answer:

c = 5

Step-by-step explanation:

The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

Pythagoras theorem

In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs.

If in a right triangle there are legs of length a and b the measure of the hypotenuse is c then the following relation is fulfilled:

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

With a = 3 and b = 4

c=\sqrt{3^{2} +4^{2}} =\sqrt{9+16} =\sqrt{25} \\c=5

7 0
2 years ago
Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary
sergejj [24]

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

8 0
2 years ago
Which statement accurately represents to
iris [78.8K]

Answer:

As pressure increases, volume decreases.

<em>Hope</em><em> this</em><em> answer</em><em> correct</em><em> </em><em>:</em><em>)</em>

7 0
2 years ago
What is 2.4 with a bar over it as a fraction..? i need an answer ASAP! ty.
DanielleElmas [232]

Answer:

2 2/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A museum worker randomly displays 5 historical writings in a row. What is the probability that the worker lines them up from the
Mars2501 [29]

The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.

There is only 1 way to arrange the writings from oldest to newest.

Therefore, the probability is 1/120.

4 0
3 years ago
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