1.24: Find the value of (ii) The common ratio of a geometric series is positive.

4PM1/2R/June/2025 — Question 4 · 11 marks

(i) Find the value of ∑k=6173(2)k−1\displaystyle \sum_{k=6}^{17} 3(2)^{k-1}
(4)
(ii) The common ratio of a geometric series G\displaystyle G is positive.
The third term of G\displaystyle G is 713\displaystyle \frac{7}{13} and the ninth term of G\displaystyle G is 4489477\displaystyle \frac{448}{9477}
G\displaystyle G is convergent with sum to infinity S\displaystyle S
Find the exact value of S\displaystyle S
(7)