Answer to Question #77312 in Calculus for Vaibhavi

Question

1) In the arithmetic series
k+ 2k+ 3k+................+100
k is a positive integer and k is a factor of 100

i) Find in terms of k, an expression for the number of terms in the series

ii) show that the sum of terms in this series is

50+500/k

iii) Find, in the terms of k, the 50th term of the arithmetic sequence
(2k+1), (4k+4), (6k+7),................