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Brums [2.3K]
3 years ago
7

A recursion formula and the initial term of a sequence are given. Write out the first five terms of the sequence. a Subscript fo

nt size decreased by 1 1equals6​, a Subscript n plus font size decreased by 1 1equalsminusa Subscript n
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

6, -6, 6, -6 and 6.

Step-by-step explanation:

Given the recursion formula for a sequence

a_{n+1}=-a_n\\$where a_1=6\\

The first five terms of the sequence are:

\text{First Term, }a_1=6\\$Second Term, a_2=a_{1+1}=-a_1=-6\\$Third term, a_3=a_{2+1}=-a_2=6\\$Fourth term, a_4=a_{3+1}=-a_3=-6\\$Fifth term, a_5=a_{4+1}=-a_4=6

Therefore, the first five terms of the sequence:

a_1,a_2,a_3,a_4,a_5=6, -6, 6, -6$ and 6.

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle
Natali [406]

Answer:

\sqrt{514} cm, 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm

But if 17cm is the longest side then:

a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm

Hope this helps!

4 0
3 years ago
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31.8 miles/hr= ? Feet/sec
PSYCHO15rus [73]
1 mi = 5280 ft
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therefore:

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Answer: 31.8 mi/h = 46.64 ft/s
6 0
3 years ago
Bella has a credit score of 720. based on the graph, which description most likely explains her score? she pays her bills on tim
Rus_ich [418]

Answer: The correct answer would be that she pays her bills on time and has a lower amount of debt because her credit score are 720 which is considered a good payment point.

Explanation: The correct answer would be that she pays her bills on time and has a lower amount of debt because her credit score is 720 which is considered a good payment point.

Explanation: Credit score is known as CIBIL. By this credit, score banks gauge the creditworthiness of a person. The data listed in our credit report CIBIL generate our credit score.

A person's credit history is submitted to CIBIL by banks and other financial institutions on a particular basis.

For example, if a person has a credit score of 600 then that person cannot be considered a good creditor. In this case, the bank doesn't lend him  .

5 0
2 years ago
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Yakvenalex [24]

Answer:

false

Step-by-step explanation:

x can be equal to 2 or -2 since square root of a number can't be negative

4 0
3 years ago
HELP
jenyasd209 [6]

Answer:

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Step-by-step explanation:

In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years

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3 years ago
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