All categories

2 years ago

If a1= 1 and an= (an-1)^2 + 2 then find the value of a4

Mathematics

2 answers:

Aneli [31]2 years ago

6 0

Answer:

Sequence rule:

an = (an-1)2 + 5

a1 = 4

Then:

a1 = 4

a2 = (4)2 + 5 = 16 + 5 = 21

a3 = (21)2 + 5 = 441 + 5 = 446

a4 = (446)2 + 5 = 198916 + 5 = 198921

a4 = 198,921

leva [86]2 years ago

5 0

Answer:

123

Step-by-step explanation:

$a_{1}=1\\a_{n}=(a_{n-1})^2+2\\a_{2}=(a_{1})^2+2=1^2+2=1+2=3\\a_{3}=(a_{2})^2+2=3^2+2=9+2=11\\a_{4}=(a_{3})^2+2=(11)^2+2=121+2=123$

You might be interested in

Find the distance between the points (1, 5) and (1, -4). 3 √(41) 9

8_murik_8 [283]

Answer:

The distance between the givens points is 9 unit

Step-by-step explanation:

Given points are as :

A = ( 1 , 5 )

B = ( 1 , - 4 )

So, The Distance between points A and B = AB

Now, From Distance formula

AB = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, AB = $\sqrt{(1 - 1)^{2}+( - 4 - 5)^{2}}$

Or, AB = $\sqrt{0 +81}$

Or, AB = $\sqrt{81}$ = 9

Hence The distance between the givens points is 9 unit Answer

5 0

3 years ago

This is 6th grade math. How do you evaluate the following. The ^ is to represent that the number after is in the exponent positi

evablogger [386]

Answer:

Step-by-step explanation:

First, you description of ^ is very well written as well as being correct.

Second: all you can do is combine the 6 and 28. They are like terms

34 - c^3

That's as much of an answer as you can get.

5 0

2 years ago

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a

andrew11 [14]

Answer:

Step-by-step explanation:

Given that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) $P(X\leq 15) = 0.1565=0.157$

b) $P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078$

c) $P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817$

d) 2 std dev = 2(20) =40

Hence 2 std deviation means

20-40, 20+40

i.e. (0,60)

$P(0$

5 0

3 years ago

Ava is saving for a new computer that coat 1,218 she already has half saved of the money. Ava earns $14.00 per hour. How many ho

ollegr [7]

Answer:

43.5

Step-by-step explanation:

First

1218 divided by 2

= 609

Second

609 divided by 14 is =43.5

43.5 is the answer

4 0

3 years ago

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?Expl

MariettaO [177]

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

6 0

3 years ago