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nordsb [41]
2 years ago
6

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

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Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan
vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c      

⇒c = 147.54 - 18.40 m  ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c       ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km ×  61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0
3 years ago
Members of a softball team raised $1319.25 to go to a tournament. They rented a bus
harina [27]

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

7 0
3 years ago
-2w - 23 = 13w +22 please solve
zhannawk [14.2K]

-2w-23=13w+22 is w = -3

6 0
3 years ago
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2,704 rounded to the nearest thousand
Anna71 [15]

Answer:

3000,

Step-by-step explanation:

5 or above round up, 4 and below keep it the same

4 0
3 years ago
Frank's toy car is 19 centimeters long. Max's
jeka94

Answer:

Pertaining to the yielded interrogate, the retort is 6.30.

Step-by-step explanation:

As disseminated, the terms may equate to the proximate as identified:

-If an inch is equivalent to the numeral equivalence of 2.54, hence 5 inches (in) is in the accordance with the equivalence to 12.7 centimeters (cm).

Alas, the terms may equate as the following:

19 cm - 12.7 cm = x

Thus, as to resolute and evaluate the retort, with respect to your interrogate, is 6.30.

*Hope this helps.

8 0
3 years ago
Read 2 more answers
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