1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liubo4ka [24]
3 years ago
8

What are the first two terms of the sequence defined recursively by the formula

Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer: C.  \sqrt2,\ 6


Step-by-step explanation:

Given formula a_n=(a_{n-1})^2+4

whena_4=1604

Substitute n=4 in th given formula , we get

a_4=(a_{4-1})^2+4\\\Rightarrow1604=(a_3)^2+4\\\Rightarrow(a_3)^2=1604-4\\\Rightarrow(a_3)^2=1600\\\Rightarrow\ a_3=40

Substitute n=3 in the given formula, we get

a_3=(a_{3-1})^2+4\\\Rightarrow40=(a_2)^2+4\\\Rightarrow(a_2)^2=40-4\\\Rightarrow(a_2)^2=36\\\Rightarrow\ a_2=6

Substitute n=2 in the given formula, we get

a_2=(a_{2-1})^2+4\\\Rightarrow6=(a_1)^2+4\\\Rightarrow(a_1)^2=6-4\\\Rightarrow(a_1)^2=2\\\Rightarrow\ a_1=\sqrt{2}

Thus, the first two terms of the sequence= \sqrt{2}\ and \ 6

MrRa [10]3 years ago
5 0
A3^2+4=1604

a3=40

a2^2+4=40

a2=6

a1^2+4=6

a1=√2

So the first two terms are √2 and 6, answer C
You might be interested in
Mr. Parker's farm borders a river. He buys 1,000 ft of fencing
Gelneren [198K]
When one side of a quadrilateral is not to be fenced (ex. a river, as in this case), the optimal fencing to maximize the area is always to use half the fencing for the length, and one-fourth for each of the two widths

A) For 1000 ft of fencing which is to be used to cover 1 length and 2 widths:
L = 1000/2 = 500, and W = 1000/4 = 250. The optimal dimensions will be 250 x 500 ft.

B) This will result in an area of 250*500 = 125,000 sq. ft.
8 0
3 years ago
7x+9-13x+4 simplified
densk [106]

Answer:

-6x+13

Step-by-step explanation:

7x+9-13x+4

7x-13x+9+4

-6x+9+4

-6x+13

6 0
3 years ago
PZLZZ ANS SNEJSJDJSWJEJSJSH PLZZZ
jolli1 [7]
One cubic foot of sand should be $11.25. You can find this answer by dividing the first price by 3, because there are 3 feet in a yard.
8 0
3 years ago
For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
kupik [55]

Answer:

Jim only found 15 of the containers.

Step-by-step explanation:

If his mom hid 875 jelly beans evenly into 25 containers we can easily multiply 25 x 35 = 875, which means there were 35 jelly beans in each container.

Jim only found an amount of 385 jelly beans. To find out how many containers he found, all you have to do is divide 385 by 25 which gives us 15.4.

15.4 rounded to the nearest whole number is 15. So your answer would be that Jim found only 15 out of 25 containers.

6 0
3 years ago
Costs $17.60 for a pack of 4 padlocks.Find the unit price in dollars per padlock.If necessary, round your answer to the nearest
mel-nik [20]

4=$17.60

1=$17.60/4

1=$4.40

Hole this helps :)

6 0
3 years ago
Other questions:
  • The area of a square is 81m^2. Find the length of each side.
    11·1 answer
  • If ABCD is a rectangle, find the length of each diagonal. <br><br> AC=3c/9 and BD=4-c
    14·1 answer
  • Add to find the cost of 1 day's rental
    7·1 answer
  • 74.052 using expanded form with fractions and expanded form with decimals
    9·1 answer
  • Square root of 100/121
    8·1 answer
  • 6 * 2/3 is greater less then or equal to 6
    9·1 answer
  • The blue line and the yellow line trains just arrived at the station.
    5·1 answer
  • What is the property of 4x+6=18
    12·2 answers
  • ILL MARK U BRAINLIEST!!!
    8·2 answers
  • If 18 out of 40 snacks are sweet how many sweet snacks will there be per 100 snacks
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!