# Math Help - Sequences, Series, etc.

1. ## Sequences, Series, etc.

1) A tree is 10 m tall and grew 180 cm last year. Its height increases each year by 80% of the previous year's growth. Find the height of the tree five years from now and the ultimate height of the tree.

2) Pat borrows $30000 at 9% pa reducible montly to be repaid in 60 equal montly instalments of$622.75. With the 12th payment, Pat repays an extra $5000. After this payments continue at$622.75 per motnh. How many more repayments will be needed?

I got these questions completely wrong during the exams Could someone please show me how to do them?

2. 1. The ultimate height of the tree in meters:

$10 + 0.18 \sum_{n=1}^\infty 0.8^n$