AP Calculus AB - Series and Sequences- 7 Questions

1. What is the sum of the geometric series 4 + 8 + 16 + 32 + …?

(a) 64

(b) 96

(c) 128

(d) Does not converge

2. What is the sum of the series 1 + 1/2 + 1/4 + 1/8 + …?

(a) 1/2

(b) 1

(c) 2

(d) Does not converge

3. What is the nth term of the arithmetic sequence 3, 7, 11, 15, …?

(a) 4n – 1

(b) 4n + 1

(c) 4n + 3

(d) 4n + 5

4. What is the sum of the series 3 + 7 + 11 + 15 + …?

(a) 60

(b) 64

(c) 68

(d) Does not converge

5. What is the sum of the series 1/3 + 1/9 + 1/27 + 1/81 + …?

(a) 1/2

(b) 1

(c) 3/2

(d) Does not converge

6. What is the nth term of the geometric sequence 2, 6, 18, 54, …?

(a) 2^n

(b) 3^n

(c) 2^n + 1

(d) 3^n + 1

7. What is the sum of the infinite series 1/2 + 1/4 + 1/8 + 1/16 + …?

(a) 1

(b) 1/2

(c) 2

(d) Does not converge