Chapter: Arithmetic Progression· Mathematics Part 1 (Algebra)
Asked in: June 2026 board paperComplete the following activity to find, ‘how many three digit natural numbers which are divisible by 5’.Activity :Three digit natural numbers divisible by 5 are as follows : 100, 105, 110, ……, 995.\(t_n = \) ____, \(a…
Asked in: June 2026 board paper
Complete the following activity to find, ‘how many three digit natural numbers which are divisible by 5’.
Activity :
Three digit natural numbers divisible by 5 are as follows : 100, 105, 110, ……, 995.
\(t_n = \) ____, \(a = \) ____, \(d = 5\), \(n = ?\)
\(t_n = a + (n - 1)d\) …… formula
\(995 = \) ____ \(+ (n - 1) \times \) ____
\(895 = (n - 1) \times 5\)
\(\dfrac{895}{5} = n - 1\)
____ \(+ 1 = n\)
____ \(= n\)
\(\therefore\) There are 180 three digit natural numbers, divisible by 5.