KCA UNIVERSITY
FACULTY OF COMPUTING AND INFORMATION MANAGEMENT
BACHELOR OF SCIENCE IN TECHNOLOGY
BACHELOR OF BUSINESS INFORMATION TECHNOLOGY
BACHELOR OF APPLIED COMPUTING
BACHELOR OF INFORMATION AND COMMUNICATION TECHNOLOGY
BIT 1110: MATHEMATICS FOR SCIENCE EXAMINATION
BCU 102: FOUNDATION OF MATHEMATICS
BAC 1103: COMPUTING MATHEMATICS
BCT 1103: MATHEMATICS FOR ENGINEERS
FULLTIME/PARTTIME/DISTANCE LEARNING
DATE: DECEMBER 2018 TIME: 2 HOURS
Instructions: Answer Question One and Any Other Two Questions
QUESTION 1: 30 MARKS (COMPULSORY)
QUESTION 2: 20 MARKS
a) The sum of the second and fourth terms of an AP is 15, and the sum of the fifth and the sixth
terms is 25. Find the first term and the common difference 4 Marks
b) The first term of a GP is 16 and the fifth term is 9. What is the value of the seventh term?
4 Marks
QUESTION 4: 20 MARKS
a) If you deposit KES 5000 into an account paying 6% annual interest compounded monthly,
how long until there is KES 8000 in the account? 4 Marks
b) Write down the sum and product of the root in the following equation 3×2 + 9x + 7 = 0
QUESTION 5: 20 MARKS
a) Find the sum of the following series ? + ? + ? … … . + (?? + ?) 4 Marks
b) Expand (2-x)6
in ascending powers of x. Taking x = 0.002, and using the first three terms of
the expansion, find the value of (1.998)6 as accurately as you can. Examine the fourth term of
the expansion to find how many places of decimals your answer is correct. 4 Marks
b) Write 40 X 39 X 38 X 37 in factorial notation 2 Marks
c) How many ways can the letters of the word BISIEGE be arranged 4 Marks
b) Answer the following questions
i. State the remainder theorem 1 Mark
ii. Using the long division method divide x
5
– 4x
3 + 2x + 3 by x – 1 2 Marks
iii. Using the remainder theorem confirm indeed that the remainder of x
5
– 4×3 + 2x + 3
divided by x – 1 is indeed 2
