Question

Algebra two help? I'm in connexus academy

Answer 1

1. What are the first five terms of the sequence given by the formula an = 5n + 1? (1 point)
1, 5, 9, 13, 17
6, 11, 16, 21, 26
5, 10, 15, 20, 25
5, 6, 7, 8, 9

2. Write a recursive definition for the sequence 8, 6, 4, 2, … (1 point)
a1 = 8; an= an–1 − 2
a1 = 2; an= an–1 + 6
a1 = 8; an= an–1 + 2
a1 = 2; an= an–1 + 8
3. Write an explicit definition for the sequence −2, 1, 4, 7, … (1 point)
an = –2 + 3n
an = –2 + (n – 3)
an = –2 + (n – 3)
an = –2 + 3 (n – 1)
4. The table shows the predicted growth of a particular bacteria after various numbers of hours. Write an explicit formula for the sequence of the number of bacteria.

Hours (n)

1

2

3

4

5

Number of Bacteria

21

42

63

84

105



(1 point)
an = 21n
an = n
an = n + 21
an = 21n + 21
5. Is the sequence arithmetic? If so, identify the common difference.

14, 21, 42, 77, ...
(1 point)
yes; 7
yes; –7
yes; 14
no
6. What is the 12th term of the sequence 10, 6, 2, …? (1 point)
–16
–24
–34
–38
7. Find the missing term of the arithmetic sequence 22, ___ , 34, ... (1 point)
46
16
28
40
8. Is the sequence geometric? If so, identify the common ratio.

, , , , , . . . (1 point)
yes;
yes;
yes;
not geometric
9. What is the sum of the finite arithmetic series?

(–5) + 0 + 5 + 10 + ... + 65 (1 point)
900
455
450
445
10. What is the sum of the arithmetic series (3t – 4) ?
(1 point)
23
441
25.5
49
11. What is the sum of the geometric series rounded to the nearest whole number? (1 point)
4
0
2
3
12. Does the infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + ... (1 point)
It diverges; it has a sum.
It converges; it does not have a sum.
It diverges; it does not have a sum.
It converges; it has a sum.

Answer 2

im in connections academy to

Answer 3

1. an=5n+1
a(1)=5(1)+1
a(1)= 6 First Term
a(2)=5(2)+1
a(2)= 11 Second term
So B is the only option w/ the first two terms.