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 first step in solving this equation? 3(2x+6)-4x 2(5x- 2) +6 Use the subtraction property of equality to subtract 6 f
LekaFEV [45]

Answer:

Use the distributive property on each side of the equation.​

Explanation:

PEMDAS

5 0
3 years ago
I NEED HELP ASAPPPPP ​
soldier1979 [14.2K]

Answer:

y=55 degrees x=125 degrees

Step-by-step explanation:

6 0
3 years ago
An arrangement of flowers originally priced at $48.00 is marked down to $39.00. What is the percent of decrease, rounded to the
Mashcka [7]
The answer is C

So how?

I multiplied 48*.19= 9.12 then subtracted that from 48 and got 38.88 which rounds to 39

C is the answer

I hope this helps! :D
6 0
3 years ago
Simplify the expression:<br> 8d+9c+1x3=b
VMariaS [17]

Answer:

b=8d+9c+3

Step-by-step explanation:

Multiply:

1x3=3

Rewrite Equation:

b=8d+9c+3

Hence, the correct answer is b=8d+9c+3

6 0
2 years ago
Read 2 more answers
The number of coffee bar on different streets of a NY city are 9, 18, 24, 9, 5,
Serjik [45]

Answer:

9

Step-by-step explanation:

The mode is the number that occurs most often. The number nine occurs 4 times.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Ruth has 12 feet of ribbon.
    15·1 answer
  • There is a reason i am writing alot because the website wont let me write a short amount. So If x=5 what is 5h+7
    14·2 answers
  • What is greater 5/6 or 2/3?
    15·2 answers
  • A music store is offering a Frequent Buyers Club membership. The membership costs $22 per year, and then a member can buy CDs at
    8·1 answer
  • Andrew is paid $810.34 biweekly. What is his average monthly net or take home pay?
    12·1 answer
  • Es
    12·1 answer
  • What is 0.1 repeating. Convert to a FRACTION
    11·2 answers
  • Pierce wishes to purchase a municipal bond with a par value of $500 from Chattahoochee County, and he is trying to decide which
    5·2 answers
  • A person measured the depth of water in a bathtub at two minute intervals after the tap was turned on. Use the line of best fit
    14·1 answer
  • I'm having trouble with the second to last step in the fifth question.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!