Sum of a Convergent Geometric Series · CSEC Additional Mathematics

7 past-paper questions on Sum of a Convergent Geometric Series, part of Sequences and Series, from every CSEC Additional Mathematics paper on Quelpr.

1. 2(b)4 marks· Additional Mathematics Q2 2(b)Prove that S∞ = xy(x² - y)⁻¹.
2. 2(c)5 marks· Additional Mathematics Q2 2(c)Find the sum to infinity of the following series: 1/4 + 2/4² + 1/4³ + 2/4⁴ + ... .
3. 2(c)(ii)2 marks· Additional Mathematics Q2 2(c)(ii)Find the sum to infinity of this series, giving your answer as an exact fraction.
4. Q191 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The first four terms of a convergent geometric progression (GP) is given by 500, 200, 80, 32. The sum to infinity of this GP is
5. Q201 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The first four terms of a convergent geometric progression (GP) is given by 500, 200, 80, 32. The sum to infinity of this GP is
6. Q171 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The series -2 + \frac{4}{3} - \frac{8}{9} + \dots converges to the limit
7. Q171 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1The series -2 + \frac{4}{3} - \frac{8}{9} + \dots converges to the limit