All categories

2 years ago

If a_1=2a 1 =2 and a_n=(a_{n-1})^2-2a n =(a n−1 ) 2 −2 then find the value of a_4a 4 .

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

We assume your recursive formula is ...

$a_1=2\\a_n=a_{n-1}^2-2$

Using this to find a4, we get ...

$a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}$

You might be interested in

A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of

Alenkasestr [34]

Answer:

$s(65,000)= \$ 4,900$

Step-by-step explanation:

$s(x)$ represents the commission on $x$ dollars of sales.

For the first $10,000 of sales, the commission is $1400.

For each additional $10,000, the commission is $700.

The total value is $65,000.

The first $10,000 implies a commission of $1400.

The rest is $55,000, which represents 5 times $10,000 and $5,000. The additional commission is 5 times $700, which is $3500.

Therefore, the total commission for the sale of $65,000 is $4,900.

$s(65,000)= \$ 4,900$

4 0

3 years ago

Someone Help me please??

11Alexandr11 [23.1K]

It will be identical, this will explain it https://www.wyzant.com/resources/answers/165599/how_many_degrees_can_a_regular_pentagon_be_rotated_a...

8 0

3 years ago

Read 2 more answers

The product of 5 and twice a number

Stells [14]

Product means multiply so:

5(2n)
=10n

4 0

2 years ago

Read 2 more answers

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

aev [14]

Answer:

Upper quartile: 38
Lower quartile: 19

3 0

2 years ago

Read 2 more answers

Please I will give brainliest !!!!!

Svetlanka [38]

The answer is option 2,

2x10^10

8 0

2 years ago

Read 2 more answers

If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .

If a_1=2a 1 =2 and a_n=(a_{n-1})^2-2a n =(a n−1 ) 2 −2 then find the value of a_4a 4 .