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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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Select all ratios equivalent to 15:5.<br> 9:3<br> 6:2<br> 3:1
natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0
3 years ago
A and B represent whole numbers, and A▯B means A² + B² - 2AB. What is the value of 9▯(5▯2)?
andreev551 [17]
It’s 54 because I did the math to get the answer
3 0
2 years ago
9 = x/2 + 2<br> solve for x.
Leya [2.2K]

Answer:

14 = x

Step-by-step explanation:

-2 on both sides you get 7 = x/2, multiply both sides by 2 and you get 14 = x

8 0
3 years ago
Read 2 more answers
Please help me thank you if u do
astra-53 [7]

Answer:

Step-by-step explanation:

1/2 * ( 9 * 6 * 10)

1/2 * 540

270 in^{2}

7 0
3 years ago
HELP me plzzzz i need to finish this
trapecia [35]

Answer:

725.95

Step-by-step explanation:

If you multiply 129.95*5. You get 649.75, but you have to add 76.20 from the delivery and you get 725.95

Hope this helps =)

4 0
2 years ago
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