Question

Find the sum of the first 10 terms of the following series, to the nearest integer.

Answer 1

Answer:

Step-by-step explanation:

you can see this is a geometric progression which a ratio of ${2\over{5}}$. the sum of the firs n term is:

$S=a_1\frac{(1-r^n)}{(1-r)}=175\frac{1-(\frac{2}{5})^{10}}{1-\frac{2}{5}}=291.6360832$

the nearest integer would be:

292