Quick questions on Sequences and series: arithmetic, geometric and convergence - SQA Advanced Higher Maths

3short 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 is off-by-one in the power?

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The

n

th geometric term uses

r^{n - 1}

, not

r^{n}

; the first term has

r^0 = 1

What is q1?

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Find the 10th term of the arithmetic sequence

5, 8, 11, \ldots

[2 marks]

What is q2?

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Does the geometric series with

a = 3

r = \dfrac{3}{2}

converge? [1 mark]

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