Mathematics And Computing Assignment

Added on - Jan 2021

Trusted by 2+ million users,
1000+ happy students everyday
Showing pages 1 to 4 of 18 pages
Maths for Computing (L4)
TABLE OF CONTENTSLO 1.................................................................................................................................................1Part 1............................................................................................................................................1Part 2............................................................................................................................................1LO 2.................................................................................................................................................3Part 1............................................................................................................................................3Part 2............................................................................................................................................4LO 3.................................................................................................................................................6Part 1...........................................................................................................................................6Part 2...........................................................................................................................................7LO 4.................................................................................................................................................8Part 1............................................................................................................................................8Part 2............................................................................................................................................9REFERENCES.............................................................................................................................12
LO 1Part 1Prime numbers: 2, 3, 5, 7, 11Solution:Greatest common divisor (GCD)2 = 2 *13 = 3 *15 = 3 *17 = 3 *111 = 3 *1Thus, the GCD of prime numbers is always one.Least common multiple (LCM):The least common multiple of prime numbers is equivalent to their products (Kac, 2018).Thus, for the given pair of numbers LCM is given by:LCM: 2 * 3 * 5 * 7 * 11 = 2310Part 22.1First term (a) = 9Tenth term (a10) = 40.5Last term (L) = 425.5Solution:The expression for the nth term of AP is:a(n) = a + (n-1) *d where d is the common differenceThe expression for the tenth term can be written as :a10 = a +(10-1)*d40.5 = 9 + 9dOn solving this equation we get :Common difference d = 3.5a. Number of termsSolution:1
L = a + (n-1)*d425.5 = 9 + (n-1)*3.5Number of terms (n) = 120B. Sum of all termsSolution:Sum of n terms of A.P. = (n/2)* [2a + (n-1)*d]On substituting values we get:S= (120/2)* [2*9 + (120-1)*3.5]S= 60* [434.5]S= 26070C. 70thterm of given seriesSolution:a(70) = 9 + (70-1)*3.570thterm = 250.52.2Salary in the first year (a) = £7200annual increment (d) = £350Solution:Salary in the 9thyear = 7200 + (9-1)*350= £10000Sum of salary in the first 12 years = (12/2)* [2*7200 + (12-1)*350]= 6* [14400 + 3850]= £109500Salary in the 9thyear = £10000Sum of salary in the first 12 years = £1095002.3Range of speeds of drilling machine: 50-750 rev/ minSolution:2
Desklib Logo
You are reading a preview
Upload your documents to download or

Become a Desklib member to get access