The starter and exit quiz of the lesson “Advanced problem solving with further sequences”, from the unit “Further sequences” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Interest which is calculated on the original amount and the interest accumulated over the previous period is called ___ interest.
If a geometric sequence starts 75, 105, 147, ... what is the common ratio? Give your answer as a decimal.
£100 is invested at 1% compound interest a month. Which calculation would find the value of the money after 5 months?
Which of these are examples of exponential equations?
Which of these is the general form for an odd number when n is an integer?
What is the n^\text{th} term of the quadratic sequence which starts 1, 3, 9, 19, 33, ...?
£1600 is borrowed with yearly compound interest and after a year £2240 is owed. What is the yearly interest rate?
A loans company charges 4% interest a month. If £35 152 was owed after three months, how much was borrowed?
£40 000 was borrowed with compound interest and after 4 years £58 564 was owed. What was the yearly interest rate? Assume no repayments were made.
£24 000 is borrowed at a compound interest rate of 5% a month. What would be the n^\text{th} term rule for the geometric sequence formed from the amount owed each month starting with month 1?
Some money was borrowed with compound interest. After 2 years £4000 was owed and after 4 years £6250 was owed. After how many years would the loan value be greater than £10 000 ?
Which of these is the n^\text{th} term rule for the triangular numbers? (1, 3, 6, 10, 15, ...)
