A geometric series is a+ar+ar2+…a + ar + ar^2 + \dotsa+ar+ar2+…
Prove that the sum of the first n n\,n terms of this series is given by
Sn=a(1−rn)1−r. S_n = \frac{a(1 - r^n)}{1 - r}. Sn=1−ra(1−rn).Find
∑k=110100(2k). \sum_{k=1}^{10} 100(2^k). k=1∑10100(2k).Find the sum to infinity of the geometric series
56+518+554+… \frac{5}{6} + \frac{5}{18} + \frac{5}{54} + \dots 65+185+545+…State the condition for an infinite geometric series with common ratio r r\,r to be convergent.
Practise Edexcel A Level Old Maths Sequences and Series with exam-style questions for A Level Old Maths. 10 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.