Question

Is 184 a term of sequence 3,7,11

Answer 1

Let 184 be the n th term of the sequence.
a = 3, d = 7-3= 4 
therefore,   184 = a + (n-1) d
                          = 3 + (n-1) 4
184-3 = (n-1) 4
181 = (n-1) 4
n-1 = 181/4
n = 181/4 +1
n = 185/4
However, n should be a positive integer. Therefore, 184 is not a term of the given A.P.

Answer 2

The series is in arithmetic progression with a=3,d=4
let us assume 184 is a term of the above sequence.
t=a+(n-1)d
184= 3+(n-1)4
(n-1)4=181
n-1 = 181/4=45.25
n=46.25 which is not an integer.
so 184 is not a term of the given sequence.

(or)

the above sequence contains only odd numbers like 3,7,11,15,19....
184 is a even number, so it is not a term of the given sequence.