A Rich Man's Promise
A rich man promises to give you \( \$ 1000 \) on September \( 1 \) . Each day thereafter he will give you \( \frac { 17 } { 20 } \) of what he gave you the previous day. What is the first date on which the amount you receive is less than \( \$ 0.01 \) ? How much have you received when this happens?
this forms a GP with common ratio = \(\frac{17}{20}\)
(a) \(\frac{1}{100}= 1000\times (\frac{17}{20})^{n- 1}\)
\(n\approx 71.84052\)
n = 72
(b) 6666.67
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
\( 8,40,200 , \ldots \)
Find the \( 10 \) th term.
(1) q) Put \( S \) above any dash that represents subtraction, \( N \) above any dash that represents negative and \( O \) above any dash that represents opposite. NOTE: You only need to give one answer if more than one answer is possible for a dash.
\( - ( 2 - ( - 3 ) ) - ( - 4 + ( - 2 ) ) + 4 ( - 5 ) + ( - ( - 3 ) )\)
