Ask question

Ask question

All categories

2 years ago

7

Construct a recursive rule to describe the sequence: 2, 4, 6, 8,...

1 answer:

kap26 [50]2 years ago

3 0

Answer:

a[1] = 2; a[n] = a[n-1] + 2

Step-by-step explanation:

The first term of the sequence is 2, so the first part of the definition is ...

a[1] = 2

Each term is 2 more than the previous one, so the rest of the definition is ...

a[n] = a[n-1] + 2

_____

<em>Comment on recursive rules</em>

A recursive rule has two parts. The first part tells what the initial value of the sequence is. The second part relates the next term to the previous term or terms.

For arithmetic and geometric sequences, each term is related to the previous term by a constant. For an arithmetic sequence, each term is the last term plus the common difference. For a geometric sequence, each term is the last term multiplied by the common ratio.

You might be interested in

. one decimal place

SOVA2 [1]

Answer:

1. 168

2. 70

3. 15

Hope that this helps!

3 0

3 years ago

Read 2 more answers

Is 1:2:3 equivalent to 2:4:6

Finger [1]

Answer:

Yes it is.

Step-by-step explanation:

Just multiply everything by 2.

5 0

2 years ago

The measure of the supplement of an angle is 42 more than 3 times the measure of the complement of an angle. Find the measure of

Novosadov [1.4K]

Answer:

126

Step-by-step explanation:

We multiply 42 × 3= 126

The measure of the angle is 126.

8 0

3 years ago

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a

Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , $1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}$ .

Also , simplifying her rate , $6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}$ .

Now , ratio of his work by challenge is :

$R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}$

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

8 0

3 years ago

Read 2 more answers

Which graph best represents the solution to the system of equations shown below?

siniylev [52]

1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4

7 0

3 years ago

Read 2 more answers