Sequences and Series
GCE Further Mathematics
11 Sequences and Series practice questions covering everything you need for GCE.
Drill Sequences and Series →Sample Sequences and Series questions
A geometric progression (G.P.) has first term a and common ratio r. The third term of the G.P. is 12 and the sixth term is 96. (a) Find the values of a and r. (b) Find the sum of the first 10 terms of…
An arithmetic progression (A.P.) has first term p and common difference d. The 5th term of the A.P. is 21 and the sum of the first 8 terms is 120. (a) Find the values of p and d. (b) Find the 20th ter…
The 3rd and 7th terms of an arithmetic progression are 10 and 26 respectively. Find the first term.
The 3rd and 7th terms of an arithmetic progression are 10 and 26 respectively. Find the first term.
Find the sum to infinity of the geometric series $1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + ...$
Find the sum of the first 8 terms of the geometric progression (G.P.): 2, 6, 18, ...
The sum of the first n terms of a series is given by $S_n = 3n^2 + 2n$. Find the 5th term of the series.
The sum of the first $n$ terms of a series is $S_n = 3n^2 + n$. Find the $n$th term.
If the 2nd term of a geometric progression is 6 and the 5th term is 162, find the common ratio.
How many terms of the arithmetic progression 5, 9, 13, ... must be taken for the sum to equal 165?
The first term of an arithmetic progression (A.P.) is 3 and the common difference is 4. Find the 10th term.