Question

Question 1 (iii)
Find the sum of the following APs
(iii) 0.6, 1.7, 2.8 ,…….., to 100 terms

Answer 1

(iii)
$0.6,1.7,2.8,\dots \dots ,to100termsForthisA.P.,a=0.6d=a_2-a_1=1.7-0.6=1.1n=100Weknowthat,S_n=\frac{n}{2}[2a+(n-1\left)d\right]S_{100}=\frac{100}{2}[1.2+(99)\times 1.1]=50[1.2+108.9]=50\left[110.1\right]=5505$