A machine part wears down in such a way that its thickness each day forms a geometric…
MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
A machine part wears down in such a way that its thickness each day forms a geometric progression. On the first day its thickness is 800 micrometres and each subsequent day it retains only 43 of the previous day’s thickness.
(a) Obtain an expression for the thickness on the nth day.
(b) Calculate the smallest integer n for which the thickness is less than 5 micrometres.