Chapter: Arithmetic Progression· Mathematics Part 1 (Algebra)
Complete the following activity to find the sum of all two-digit odd natural numbers.Activity :Two-digit odd numbers are 11, 13, 15, ……, 99.\(a = \) ____, \(d = 2\), \(t_n = \) ____\(t_n = a + (n - 1)d\)\(99 = 11 + (n - 1) \times 2 \Rightarrow n = \)…
Complete the following activity to find the sum of all two-digit odd natural numbers.
Activity :
Two-digit odd numbers are 11, 13, 15, ……, 99.
\(a = \) ____, \(d = 2\), \(t_n = \) ____
\(t_n = a + (n - 1)d\)
\(99 = 11 + (n - 1) \times 2 \Rightarrow n = \) ____
\(S_n = \dfrac{n}{2}(t_1 + t_n) = \dfrac{\text{____}}{2}(11 + 99) = \) ____