Is 299 any term in the sequence of numbers 5, 11, 17, 23, …?

The arithmetic progression is 5, 11, 17, 23, ….
Here, First term a = 5 and common difference = 11 – 5 = 6
Let us assume that n^th term a_n of the progression is 301.
we know, a_n = a + (n -1)d

Where,

a = First term of AP
d = Common difference of AP
and no of terms is ‘n’

∴ 299 = 5 + (n – 1) × (6)
⇒ 299 = 5 + 6n -6
⇒ 300 = 6n
⇒ n = 5

Hence, Yes, 299 is the 5^th term of the progression.