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vfiekz [6]
3 years ago
12

If anyone can help me to write recursive and explicit definition for this sequence I'm giving extra points!!

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Step-by-step explanation:

Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:

a_{n}=a_{n-1}+2, a_{1}=12

This is an arithmetic sequence, so the explicit formula is:

a_{n}=12+2(n-1)\\a_{n}=10+2n

The next three terms are 20, 22, 24.

You might be interested in
Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132
Ilia_Sergeevich [38]

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

<h3>How to determine the HCF</h3>

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

1848 = 2^3 * 3 * 7 * 11

132 =  2^2 * 3 * 11

462 = 2 * 3 * 7 * 11

The HCF is the product of the highest factors

So, the HCF is:

HCF = 2 * 3 * 11

HCF = 66

<h3>How to determine the LCM</h3>

In (a), we have:

1848 = 2^3 * 3 * 7 * 11

132 =  2^2 * 3 * 11

462 = 2 * 3 * 7 * 11

So, the LCM is:

LCM = 2^3 * 3 * 7 * 11

LCM  = 1848

Hence, the HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

Read more about prime factorization at:

brainly.com/question/9523814

4 0
2 years ago
Need additional math help 50 pts
Alex17521 [72]

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

6 0
2 years ago
Read 2 more answers
Today only, a desk is being sold at a 29% discount. The sale price is $213.
blondinia [14]

Answer:

$274.77

Step-by-step explanation:

213.00 ÷29 =61.769999 then add 213.00 plus 61.76

I actually rounded up maybe I shouldn't of then answer would be $274.76. im not postive this is correct .

4 0
3 years ago
Solve 5kx + 6 = 7kx for x.<br> А. x=3/k<br> в. х = -2/k<br> с. x =-3/k<br> D. x=2/k
slamgirl [31]

Answer:

A.  x = 3/k.

Step-by-step explanation:

5kx + 6 = 7kx

5kx - 5kx + 6 = 7kx - 5kx

6 = 2kx

x = 6 / 2k

x = 3/k.

7 0
3 years ago
Which one is cheaper and why
Shtirlitz [24]

Hey there! :)

Answer:

The bag is cheaper because one litre is roughly $1.00, compared to the carton which is $1.99 for one litre.

Step-by-step explanation:

Given:

Bag of 4 litre milk = $3.99

Carton of 1 litre milk = $1.99

Find the price per litre for a bag of milk:

\frac{3.99}{4} = \frac{x}{1}

Cross multiply:

3.99 = 4x

Divide both sides by 4:

3.99/4 = x.

x = 0.9975 ≈ $1.00

Bag of 1 litre milk ≈ $1.00

Carton of 1 litre milk = $1.99

$1.00 < $1.99

Therefore, the bag is cheaper.

5 0
3 years ago
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