# BIT 1110  MATHEMATICS FOR SCIENCE . KCA Past Paper

UNIVERSITY EXAMINATIONS 2016/2017
ORDINARY EXAMINATION FOR BACHELOR OF INFORMATION
TECHNOLOGY
BIT 1110 MATHEMATICS FOR SCIENCE (DAY/EVENING)
DATE: AUGUST, 2017 TIME: 2 HOURS
INSTRUCTIONS: Answer question ONE and Any other TWO questions

QUESTION ONE
(a) Solve by Factorization

QUESTION TWO
(a) Express as a single trignometrical ratio

(c) The second, fifth and eleventh terms of an arithmetical progression are in geometrical
progression, and the seventh term is 4. Find the first term and the common difference.
What is the common ratio of the geometrical progression? [4 Marks]
(d) Find the sums of the following series
(i) 1×2+ 2×3 + 3× 4+ 4× 5 + ……., to n terms. [2 Marks]
(ii) 2+ 12+36+ ……………………………………….to (n3+n2
) [2 Marks]
(e) The fifth term of an A.P is 17 and the third term is 11. Find the sum of the first seven terms.
[4 Marks]
Total [20 Marks]
QUESTION FOUR
(a) Write down and simplify the coefficients of the terms indicated, in the expansions
of the following

QUESTION FIVE
(a) Write in the simplest possible surds

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