Arithmetic and geometric progressions

Question 1 of 10

The 3rd term of an AP is 11 and the 7th term is 23. Find (a) the first term and common difference, (b) the 20th term, (c) the sum of the first 20 terms.

Question 2 of 10

The geometric mean of 4 and 9 is 6.

Question 3 of 10

Find the sum to infinity of the series 12 + 6 + 3 + 1.5 + … and the value of n for which the nth term is 3/16.

Question 4 of 10

In an AP the difference between consecutive terms is constant.

Question 5 of 10

The sum of the first n terms of an AP is

Question 6 of 10

In a GP the ratio of consecutive terms is constant.

Question 7 of 10

The 6th term of the AP 2, 7, 12, … is ___

Question 8 of 10

Find the sum to infinity of the GP 12, 8, 5.333, …

Question 9 of 10

The nth term of an arithmetic progression is

Question 10 of 10

The sequence 2, 4, 8, 16 is an AP.