Generalized term in any AP can be written as a + (n - 1)d where **a** > Initial term and **d** > Common Difference

Now its given that a + 36d + a + 35d + a + 34d = 429 ie.,

3a + 105d = 429 ---- 1

Also its given that a + 17d + a + 18d + a +19d = 225 ie.,

3a + 54d = 225 ---- 2

1 - 2

105d - 54d = 429 - 225

51d = 204

d = 4 ---- 3

Sub 3 in 2

3a = 225 - 54x4

3a = 9

a = 3

Therefore the given AP is 3, 7, 11, 15, 19,.........147{37th Term}.