Find the first three terms of $(1+x)^5$ in ascending powers of $x$. Hence estimate $1.02^5$. C

Question

Find the first three terms of $(1+x)^5$ in ascending powers of $x$. Hence estimate $1.02^5$. Calculate the total omitted contribution and determine whether your estimate is an underestimate or overestimate. Give $1.02^5$ correct to three decimal places.

Accepted Answer

(a) $1+5x+10x^2$; (b) $1.104$; (c) $0.0000808032$, underestimate; (d) $1.104$.

Binomial Theorem

Binomial Theorem

Solution:

Solution locked