Question

check wheather 205 belongs to Arthematic progression 7,13,19​

Answer 1

Let 205 is the n th term of the arithmetic progression

a = 7  and d = 13 – 7 = 6

205 = 7 + (n–1) 6

=> 205 – 7 = (n–1) 6

=> 198 = (n–1) 6

=> n–1 = 198 / 6

=> n–1 = 33

=> n = 33 + 1

=> n = 34

Hence 205 is the 34th term of Arithmetic progression.