| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2013 |
| Session | November |
| Topic | Geometric Sequences and Series |
| Type | Find specific nth term |
| Difficulty | Easy -1.2 This is a straightforward application of standard geometric progression formulas with all parameters given directly. Part (i) uses ar^(n-1), part (ii) uses the finite sum formula, and part (iii) uses the infinite sum formula. No problem-solving or insight required—purely routine calculation with calculator-friendly numbers. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
3 The first term of a geometric progression is 50 and the common ratio is 0.9 .\\
(i) Find the fifth term.\\
(ii) Find the sum of the first thirty terms.\\
(iii) Find the sum to infinity.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2013 Q3}}