4 free sequences & series resources for Year 12: 4 worksheets. Answers included.
Arithmetic and geometric sequences, nth terms and sums of series. Year 12 is the final year, assessed for the HSC, VCE, QCE, WACE, SACE or equivalent.
Students will practise: finding terms and sums of geometric sequences, and the number of terms needed to reach a target; finding limiting sums and writing recurring decimals as fractions; using a geometric series to find the future value of regular deposits and loan repayments; modelling growth situations such as salaries and bouncing balls with geometric series; identifying arithmetic and geometric sequences; finding the nth term; summing arithmetic and geometric series.
Printable practice with an answer sheet.
A senior maths worksheet applying geometric series: nth terms and sums, how many terms are needed to pass a target, limiting sums and…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this year…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…
All sequences & series worksheets, every year →
Arithmetic and geometric sequences, nth terms and sums of series. At Year 12, our resources focus on: finding terms and sums of geometric sequences, and the number of terms needed to reach a target; finding limiting sums and writing recurring decimals as fractions; using a geometric series to find the future value of regular deposits and loan repayments; modelling growth situations such as salaries and bouncing balls with geometric series.
Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.
Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.
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