# Math

A sequence is defined recursively by
an + 1 = 3an − n, a1 = 2.
Find the first six terms of the sequence.
a1 =
a2 =
a3 =
a4 =
a5 =
a6 =

1. 👍
2. 👎
3. 👁
1. a1 = 2
a2 = 3a1-1 = 3*2-1 = 5
a3 = 3a2-1 = 3*5-1 = 14
and so on

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

1. What are the next two terms of the following sequence? 1, 5, 9... A. 27, 211 B. 10,11 C.12,15 D.13,17 2. Which of the following are examples of arithmetic sequences? Choose all that apply. A. -2,2,6,10 B. 1,3,9,27 C. 5,10,20,40

Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general

3. ### Algebra 1

What is the third term of the sequence defined by the recursive rule f(1)=2, f(n)=2f(n-1)+1? Please help.

4. ### Math

Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general

1. ### Algebra

A sequence is defined recursively by the following rules: f(1)=3 f(n+1)=2⋅f(n)−1 Which of the following statements is true about the sequence? Select all that apply. f(5)=33 f(3)=10 f(4)=18 f(6)=66 f(2)=5 I cannot seem to

2. ### Math

an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n - 3) Answer -6, -2, 2, 6 -1, 1, 3, 5 -2, -4, -6, -8 -2,

3. ### Discrete Math

Find f(1), f(2), and f(3) if f(n) is defined recursively by f(0) = 1 and for n = 0, 1, 2, . . . • f(n+1) = f(n) + 2 So, would it be f(n) = f(n+1) + 2? Or would I just keep it like the original and plug in 1, 2, 3. Thanks for any

4. ### Math

If there is a recursively defined sequence such that a1 = sqrt(2) an + 1 = sqrt(2 + an) Show that an < 2 for all n ≥ 1

1. ### Mathematics

What is the 20th term in the sequence defined by tn = n^2 - 2n/2n - 30?

2. ### algebra 2

A sequence is defined recursively by a1=1,an=(an-1+1)^2. Write the first 4 terms of the sequence.

3. ### Algebra

What is the 9th term of the arithmetic sequence defined by the rule below? A(n)=-14+(n-1) (2)

4. ### Boundedness of a Sequence

Question : How do we prove that the sequence (1+(1/n))^n is bounded? My thoughts on this question : We know that, to prove a sequence is bounded, we should prove that it is both bounded above and bounded below. We can see that all