Sequences and series questions | form three Basic Mathematics

The first and second terms of a geometric progression are 3 and 9 respectively.

1. Find the third , fourth and fifth terms.
2. Verify that the sum of the first 5 terms is given by by using the results in part (i).

Answer / Solution

UNSOLVED

If the third term of a geometric progression is 100 and the sixth term is 800, find the fifth term and the sum of the two terms.

Answer / Solution

UNSOLVED

The second term of an A.P. is 2 and the sixth term is -14. What is the

1. first term
2. common difference?

Answer / Solution

UNSOLVED

The sum of the first two terms of a geometrical progression is 10 and the sum of the first four terms is 40. Given that all terms of the progression are positive show that;

1. the common ratio is
2. the sum of the first n terms is 5(3^n/2-1).

Answer / Solution

UNSOLVED

In an arithmetical progression , the thirteenth term is 27, and the seventh term is three times the second term. Determine the sum of the first ten terms.

Answer / Solution

UNSOLVED