Sigma notation and infinite geometric series

Question 1

Evaluate Σ (from k = 1 to 5) of (k + 2).

Answer 

Question 2

Find the sum to infinity of the geometric series with first term 18 and common ratio 3/4.

Answer (as a fraction)

Question 3

Evaluate Σ (from k = 1 to 5) of (2k − 5).

Answer 

Question 4

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

Answer (as a fraction)

Question 5

Evaluate Σ (from k = 1 to 5) of (2k + 1).

Answer 

Question 6

Find the sum to infinity of the geometric series with first term 16 and common ratio −1/3.

Answer (as a fraction)

Question 7

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

Answer 

Question 8

Find the sum to infinity of the geometric series with first term 18 and common ratio −1/3.

Answer (as a fraction)

Question 9

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

Answer 

Question 10

Find the sum to infinity of the geometric series with first term 20 and common ratio 1/3.

Answer (as a fraction)

Question 11

Evaluate Σ (from k = 1 to 6) of (k − 4).

Answer 

Question 12

Find the sum to infinity of the geometric series with first term 19 and common ratio −1/2.

Answer (as a fraction)

Question 13

Evaluate Σ (from k = 1 to 12) of (5k − 5).

Answer 

Question 14

Find the sum to infinity of the geometric series with first term 4 and common ratio 1/5.

Answer (as a fraction)

Question 15

Evaluate Σ (from k = 1 to 11) of (3k).

Answer 

Question 16

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

Answer (as a fraction)