SEQUENCES & SERIES
GHȼ15.00
A farmer borrows GHȼ50.00 and agrees to repay with a total interest of GHȼ10.00 in 6 monthly instalments, each instalment being less than the preceding instalment by GHȼ2.00. What should be his first instalment?
2
A sequence is such that Sn = 2n. Find Un
Geometrical
A sequence where each term is obtained from the preceding term by multiplication by a constant factor is called-----sequence
Arithmetical Progression
A term that differs from the preceding term by a constant called common difference is-----
Sequence
A-----is a set of numbers or terms written in a defined order with a rule or formula for obtaining the terms.
Series
A-----is formed when the terms of a sequence are added.
Infinite Series
A/An-----does not stops after a last number of terms
Finite Series
A/An-----stops after a last number of terms
6
An exponential sequence is given by 3/4,9/2,27,...Find the common ratio
Zero
As n approaches infinity the value of 1/n approaches-----
49
Find the 10th term of the linear sequence 4,9,14,19.
1/8
Find the 4th term of the exponential sequence 1,1/2,1/4,...
34
Find the arithmetic mean of 8 and 60
12
Find the eighth term of the linear sequence 47,42,37,32.
80
Find the fifth term of the sequence 5,10,20,40,...
a=2 and d=2
Find the first term and the multiplication factor of the sequence whose second term is 4 and fifth term is 10.
Un = 14 - 4n
Find the formula for the nth term of the linear sequence 10,6,2,-2...
81
Find the fourth term of the sequence 3,9,27,...
8
Find the geometric mean of 16 and 4
2^(n)*2^(0)
Find the nth term of the G.P 2,4,8,16,...
(1/2)^(n)
Find the nth term of the sequence 1/2,1/4,1/8,...
-25
Find the sum of the first five terms of the AP 1,-1,-3,-5...
15.5
Find the sum of the first five terms of the exponential sequence 1/2,1,2,4
93
Find the sum of the first five terms of the exponential sequence 3,6,12,...
48
Find the sum of the first six terms of the AP 3,5,7,9
5
Find the sum to infinity of the exponential sequence 1,4/5,(4/5)^2
5
Find the sum to infinity of the exponential sequence 5/2,5/4,5/8,5/16
d = Un+1 - Un
For any arithmetic sequence, the expression-----is valid.
GHȼ 28
If a student saves GHȼ1 on the first day, GHȼ2 on the second day, GHȼ3 on the third day and so on.What will be his total savings in 7 days?
a(r^n-1)/(r-1)
Provided the common ratio is greater than unity then the sum of a G.P can be expressed as ----- ?
a(1-r^n)/(1-r)
Provided the common ratio is less than unity then the sum of a G.P can be expressed as ----- ?
a/(1-r)
Sum to infinity of a G.P can be expressed as-----
Converge
When the sum to infinity of a series exist then it is said to ----- ?
0.3 + 0.03 + ...
Write 0.33 as an exponential sequence
2n - 1
Write an expression for the nth term of the sequence 1,3,5,7,9.
r = ±2
The 3rd and 5th terms of a G.P are 20 and 80 respectively. Find the possible values of the common ratio.
1
The 3rd and 6th terms of an exponential sequence are 1/4 and 1/32 respectively. Find the first term
Un/Un-1
The common ratio of a GP is expressed as ----- ?
a=4 and d=5
The fourth term of a linear sequence is 19 and the eleventh term is 54.Find the first term and the multiplication factor.
ar^(n-1)
The general term of a GP with first term a and common ratio r is given by ----- ?
(n-1)d + a
The nth term of a linear sequence can be expressed as -----
-1/2
The sequence 1,1/2,0,-1/2,-1...has a common difference of ------.
8
The sequence 3,7,11,...31 has -----terms.
3
The sum of the first 4 terms of a linear sequence is ----- ?
n/2(a+L)
The sum of the first n terms of a linear sequence can be expressed as -------
na/2 + nl/2
The sum of the first n terms of a linear sequence is given as?
2
The sum of the first n terms of the series 4+7+10+...is 11. Find n.
1, 2, 3
Three consecutive terms of A.P have sum 6 and product 6. Find the numbers
