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3 years ago

Help‼️‼️the questions is on the paper.

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Part 1: Yes because each input has 1 unique output.
Part 2: The domain is [1, 2, 3, 4, 5]

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

3 years ago

The distance between two locations, A and B is calculated using a third location C at a distance of 15 miles from

Rufina [12.5K]

<h3>Answer: approximately 6.3 miles</h3>

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Explanation:

See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A

A+B+C = 180

A+105+20 = 180

A+125 = 180

A = 180-125

A = 55

Then we use the law of sines to find the side length c

sin(A)/a = sin(C)/c

sin(55)/15 = sin(20)/c

c*sin(55) = 15*sin(20) ... cross multiply

c = 15*sin(20)/sin(55) .... divided both sides by sin(55)

c = 6.26294249724791 .... value is approximate

c = 6.3 ....... rounding to one decimal place

5 0

3 years ago

5. A life insurance policy costs $16.00 for every $1,000.00 of insurance. At

attashe74 [19]

Answer:

800.00

Step-by-step explanation:

so you give me a hint that was for every 16.00 it was 1000.00

i did 16x50=800

i got 50 from <u>50</u> in 50000 and the 16 from <u>16.00 so then i times 16 from 50 which is 800</u>

5 0

3 years ago

Can you please help me please please help

Triss [41]

Answer:

there is the answers❤ sorry its a little blurry

4 0

3 years ago

Examine each number. What number can you add to this number to make a number that has a whole-number square root?

Fantom [35]

the answer is 470

Step-by-step explanation:Because 470+470 which equals 940 and the square root is 30

3 0

3 years ago