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QLDGeneral MathematicsQuick questions

Unit 3: Bivariate data, sequences and change, and Earth geometry

Quick questions on Sequences, growth and decay (QCE General Mathematics Unit 3)

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are recurrence relations?
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A first-order recurrence relation defines each term from the previous one, together with a starting value. The two core forms are
What are arithmetic sequences?
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An arithmetic sequence adds a constant dd each step, producing linear (straight-line) growth if d>0d > 0 or decay if d<0d < 0. The nnth term is
What are geometric sequences?
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A geometric sequence multiplies by a constant ratio rr each step, producing exponential growth if r>1r > 1 or decay if 0<r<10 < r < 1. The nnth term is
What is off-by-one in the index?
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The nnth term uses (n−1)(n - 1), not nn, as the exponent or multiplier. The first term corresponds to n=1n = 1, so after kk steps you are at term k+1k + 1.

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