Sigma notation and infinite geometric series

Question 1

Evaluate Σ (from k = 1 to 5) of (4k + 1).

Answer 

Question 2

Find the sum to infinity of the geometric series with first term 12 and common ratio −2/3.

Answer (as a fraction)

Question 3

Evaluate Σ (from k = 1 to 6) of (5k − 1).

Answer 

Question 4

Find the sum to infinity of the geometric series with first term 6 and common ratio −1/3.

Answer (as a fraction)

Question 5

Evaluate Σ (from k = 1 to 10) of (4k + 2).

Answer 

Question 6

Find the sum to infinity of the geometric series with first term 2 and common ratio −2/3.

Answer (as a fraction)

Question 7

Evaluate Σ (from k = 1 to 9) of (4k − 2).

Answer 

Question 8

Find the sum to infinity of the geometric series with first term 1 and common ratio 1/5.

Answer (as a fraction)

Question 9

Evaluate Σ (from k = 1 to 8) of (3k − 2).

Answer 

Question 10

Find the sum to infinity of the geometric series with first term 15 and common ratio 2/5.

Answer (as a fraction)

Question 11

Evaluate Σ (from k = 1 to 9) of (4k − 5).

Answer 

Question 12

Find the sum to infinity of the geometric series with first term 3 and common ratio −1/2.

Answer (as a fraction)

Question 13

Evaluate Σ (from k = 1 to 10) of (5k − 3).

Answer 

Question 14

Find the sum to infinity of the geometric series with first term 6 and common ratio −2/3.

Answer (as a fraction)

Question 15

Evaluate Σ (from k = 1 to 11) of (k + 2).

Answer 

Question 16

Find the sum to infinity of the geometric series with first term 8 and common ratio −1/4.

Answer (as a fraction)