Sequences and series

Question 1 of 10

The 3rd term of an arithmetic sequence is 10 and the 7th term is 22. Find the common difference.

Question 2 of 10

What is the common ratio of the geometric sequence 81, 27, 9, …?

Question 3 of 10

Find the sum of the first 5 terms of the GP 3, 6, 12, ...

Question 4 of 10

Find the sum 2 + 6 + 18 + 54.

Question 5 of 10

Find the sum to infinity of the geometric series 12 + 6 + 3 + …

Question 6 of 10

The sum of the first n terms of an AP is n² + 2n. Find the 10th term.

Question 7 of 10

Find the sum of the first 20 natural numbers.

Question 8 of 10

What is the 10th term of the arithmetic sequence 3, 7, 11, …?

Question 9 of 10

Find the 10th term of the AP 5, 9, 13, ...

Question 10 of 10

The 3rd term of an AP is 11 and the 7th term is 23. Find the common difference.