Sequences and series questions | form three Basic Mathematics

(a) If the first term of an arithmetic progression is 3 and the third term is 13, find the second term, the fourth term and the sum of the first ten terms.
(b) A certain geometric progression has a common ratio of 2 and the sum of the first five terms is 155. Find the first term and give the formula for the n ^th  term.

Answer / Solution

UNSOLVED

1. Find the general term and hence the 30^th term of the sequence 1, -2, 4, -8,……
2. Given the series 100+92+84+…..

Find

1. The 20^th term
2. The sum of the first 20 terms.

Answer / Solution

UNSOLVED

Write down the next two terms in the sequence ,

Answer / Solution

UNSOLVED

1. The n ^th term of an AP is 12-4n. Find the first term and the common difference
2. In an AP the 1^st term is -10 , the 15^th term is 11 and the last term is 41. Find the sum of all the terms in the progression.

Answer / Solution

UNSOLVED

The 5^th term of a GP is 8, the third term is 4 and the sum of the first ten terms is positive. Find the first term, the common ratio and the sum of the first ten terms.

Answer / Solution

UNSOLVED