AMC12 Sequences & Series 2

Question 1

In the Fibonacci sequence 1,1,2,3,5,8,13,..., what is the 8th term?

Accepted Answer

21

Answer

13

Answer

34

Answer

8

Question 2

What is the sum of k^2 for k=1 to 5?

Accepted Answer

55

Answer

25

Answer

30

Answer

45

Question 3

What is the 7th term of a geometric sequence with first term 2 and ratio 3?

Accepted Answer

1458

Answer

729

Answer

2187

Answer

486

Question 4

The formula for the sum of the first n perfect squares is:

Accepted Answer

n(n+1)(2n+1)/6

Answer

n(n+1)/2

Answer

n^2(n+1)^2/4

Answer

n(2n+1)/3

Question 5

A ball dropped from 10m rebounds to 3/5 of the previous height each bounce. What is the total distance traveled?

Accepted Answer

40

Answer

25

Answer

50

Answer

35

Question 6

What is the coefficient of x^3 in the expansion of (1+x)^6?

Accepted Answer

20

Answer

15

Answer

6

Answer

10