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
n200080 [17]
3 years ago
9

Find the fifth term in the sequence

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Method 1:

The recursive formula states that every next term is three times the previous one, plus two.

So, we have:

  • a_1 = 1
  • a_2 = 3\cdot 1 + 2 = 3+2 = 5
  • a_3 = 3\cdot 5 + 2 = 15+2 = 17
  • a_4 = 3\cdot 17 +2 = 51+2 = 53
  • a_5 = 3\cdot 53 +2 = 159+2 = 161

Method 2:

You can write the expression for a_5, and use the recursive formula until you get to the starting point:

a_5 = 3a_4+2 = 3(3a_3+2)+2 = 9a_3+8 = 9(3a_2+2)+8 = 27a_2+26 = 27(3a_1+2)+26 = 81a_1+80

Now use the fact that a_1 = 1 to get the conclusion

a_5 = 81+80 = 161

You might be interested in
What is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400
VLD [36.1K]

Answer:

50

Step-by-step explanation:

The slope is change in y divided by the change in x

Change in distance / change in hour

m = (400-200)/(8-4)

   = 200/4

  = 50

4 0
3 years ago
angle, a and angle, b are complementary angles. angle a measures 22, degrees. What is the measure of angle b?
Natali [406]

Answer:

158 degrees is angle b I think so

7 0
3 years ago
You can buy an 8-pack of paper towels for $8.40 or a 12-pack for $12.36. Which is the better buy?
mixas84 [53]

Answer: 12 pack

Step-by-step explanation:

4 0
4 years ago
1. Find the slope and the y-intercept
Dvinal [7]

Answer:

c) slope: -7 ; y-intercept: 2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note in this case:

y = (-7)x + 2

y = y

m = -7

x = x

b = 2

c) slope: -7 ; y-intercept: 2 is your answer.

~

4 0
3 years ago
1) Andrew owns 220 shares of a common stock in a tech company. The tech company recently paid a cash dividend of $2.25 per share
Iteru [2.4K]

Answer:

9.0

Step-by-step explanation:

Took the test

5 0
3 years ago
Other questions:
  • It 3:00 here, and Australia is 13 hours ahead of us what time is it in Australia?
    10·2 answers
  • If a seamstress is paid $7.85 per hour and works 18.75 hours in one week, how much is she paid for that week?
    11·2 answers
  • (450) + (77) + 2395 =
    5·1 answer
  • The marginal cost curve is generally ______________, because diminishing marginal returns implies that additional units are ____
    13·1 answer
  • Simplify the expression <br><br> -7 - 8y + 1 - 2y = ?
    7·2 answers
  • Big Dog Building is the one of the largest cement companies in the Midwest. When the firm raised its prices by 11 percent, all o
    14·1 answer
  • Someone help with math?<br> thanks so much
    11·1 answer
  • What is the measure of arc DGF
    14·1 answer
  • A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2
    15·1 answer
  • The steepest part of any walking trail in Craters of the Moon National Monument rises 9 yards vertically for every 50 yards trav
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!