IB Mathematics HL Quiz - Sequences & Series SOLUTION KEY
[Pages:2]IB Mathematics HL
Quiz - Sequences & Series SOLUTION KEY
Part I ? Questions 1-3: GDC allowed
[total marks on quiz: 30 marks]
1. The second term of an arithmetic sequence is 11. The sum of the first four terms is 58. Find the
first term a1 , and the common difference d, of the arithmetic sequence.
[6 marks]
2. Find the sum of all positive integers between 100 and 400 that are multiples of 3.
[6 marks]
23
3. Evaluate: 11 4r r 1
[5 marks]
? InThinking ? IB Maths HL & SL
IB Mathematics HL
Quiz - Sequences & Series SOLUTION KEY
Part II ? Questions 4 & 5: No GDC
4. The sum of the first two terms of a geometric series is 9 and the sum to infinity of the geometric
series is 25. Find all possible values for the first term of the geometric series.
[7 marks]
5. The second, fourth and ninth terms of an arithmetic sequence are also consecutive terms of a
geometric sequence. Find the common ratio, r, of the geometric sequence.
[6 marks]
? InThinking ? IB Maths HL & SL
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