Sequences, series and inequalities

Question 1 of 10

Find the sum to infinity of the GP 8, 4, 2, ...

Question 2 of 10

Find 1 + 2 + 3 + … + 100.

Question 3 of 10

How many terms of the AP 3, 7, 11, ... are needed to give a sum of 210?

Question 4 of 10

Solve x² − 5x + 6 < 0.

Question 5 of 10

Solve (x − 1)/(x + 2) > 0.

Question 6 of 10

Solve |x − 3| < 2.

Question 7 of 10

Solve x² − 5x + 4 < 0.

Question 8 of 10

Find the sum of the first 10 terms of the AP 2, 5, 8, ...

Question 9 of 10

Find the sum of all multiples of 3 between 1 and 100.

Question 10 of 10

The sum to infinity of a GP is 27 and the first term is 9. Find the common ratio.