The first three terms of an arithmetic sequence are 3, 7 and 11 .
Find the 15th term. (2 marks)
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The first three terms of an arithmetic sequence are 3, 7 and 11 .
Find the 15th term. (2 marks)
Cards are stacked to build a 'house of cards'. A house of cards with 3 rows is shown.
A house of cards requires 3 cards in the top row, 6 cards in the next row, and each successive row has 3 more cards than the previous row.
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An artist posted a song online. Each day there were
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In an arithmetic series, the third term is 8 and the twentieth term is 59.
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In an arithmetic series, the fifth term is 200 and the sum of the first four terms is 1200.
Find the value of the tenth term. (3 marks)
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A toy train track consists of a number of pieces of track which join together.
The shortest piece of the track is 15 centimetres long and each piece of track after the shortest is 2 centimetres longer than the previous piece.
The total length of the complete track is 7.35 metres.
Find the length of the longest piece of track. (3 marks)
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Clare is learning to drive. Her first lesson is 30 minutes long. Her second lesson is 35 minutes long. Each subsequent lesson is 5 minutes longer than the lesson before.
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Heather decides to swim every day to improve her fitness level.
On the first day she swims 750 metres, and on each day after that she swims
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The first three terms of an arithmetic series are 3, 7 and 11.
What is the 15th term of this series?
On the first day of the harvest, an orchard produces 560 kg of fruit. On the next day, the orchard produces 543 kg, and the amount produced continues to decrease by the same amount each day.
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Anne and Kay are employed by an accounting firm.
Anne accepts employment with an initial annual salary of $50 000. In each of the following years her annual salary is increased by $2500.
Kay accepts employment with an initial annual salary of $50 000. In each of the following years her annual salary is increased by 4%.
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Susanna is training for a fun run by running every week for 26 weeks. She runs 1 km in the first week and each week after that she runs 750 m more than the previous week, until she reaches 10 km in a week. She then continues to run 10 km each week.
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A skyscraper of 110 floors is to be built. The first floor to be built will cost $3 million. The cost of building each subsequent floor will be $0.5 million more than the floor immediately below.
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Jay is making a pattern using triangular tiles. The pattern has 3 tiles in the first row, 5 tiles in the second row, and each successive row has 2 more tiles than the previous row.
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Kim and Alex start jobs at the beginning of the same year. Kim's annual salary in the first year is $30,000 and increases by 5% at the beginning of each subsequent year. Alex's annual salary in the first year is $33,000, and increases by $1,500 at the beginning of each subsequent year.
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