Page 12 - Past Year

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CHAPTER 3: SEQUENCES

1. If a contractor delays his housing project by one week, he will be fined RM3000. For every

subsequent week it is delayed, he will be fined 10% more than the previous week.

(a) How much will he be fined (i) in the second week, (ii) in the fifth week.
(b) If the project is delayed by five weeks, calculate the total fine the contractor has to

pay.

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2. Given that the second term of a geometric sequence is and the fourth term is . If
5 125

T  , p find the possible values of p.
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
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3. The sum of the first n terms of an arithmetic progression is S  n 7n n . Find the first term
and the common difference.

4. The sum of the first n terms of an arithmetic sequence is S  5n  2 n . Find the first term
n
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and the common difference. Find the 15 term.

5. The sum of the first 20 terms of an arithmetic sequence is 50, and the sum of the next 20

terms is –50. Find the first term and common difference of the sequence.

th
6. The sum of the first 20 terms of an arithmetic progression is 400. The 15 term is 110. Find
the common difference and the first term.

7. (a) The fifth term of an arithmetic sequence is 10 and the sum of the first five terms is
30. Find the tenth term.

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(b) Given 4,2,1, ,..., find the sum of the first eight terms.
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