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Date May Specimen paper Marks available 1 Reference code SPM.1.SL.TZ0.2
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Write down Question number 2 Adapted from N/A

Question

The Osaka Tigers basketball team play in a multilevel stadium.

The most expensive tickets are in the first row. The ticket price, in Yen (¥), for each row forms an arithmetic sequence. Prices for the first three rows are shown in the following table.

Write down the value of the common difference, dd

[1]
a.

Calculate the price of a ticket in the 16th row.

[2]
b.

Find the total cost of buying 2 tickets in each of the first 16 rows.

[3]
c.

Markscheme

(dd =) − 250             A1

[1 mark]

a.

(u16=)6800+(161)(250)(u16=)6800+(161)(250)           M1

(¥)3050           A1

[2 marks]

b.

(S16=)(162)(2×6800+(161)(250))×2(S16=)(162)(2×6800+(161)(250))×2          M1M1

Note: Award M1 for correct substitution into arithmetic series formula.
Award M1 for multiplication by 2 seen.

OR

(S16=)(162)(6800+3050)×2(S16=)(162)(6800+3050)×2         M1M1

Note: Award M1 for correct substitution into arithmetic series formula.
Award M1 for multiplication by 2 seen.

(¥)158 000 (157 600)          A1

[3 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 1—Number and algebra » SL 1.2—Arithmetic sequences and series
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Topic 1—Number and algebra

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