is 184 a term of the sequence 3,7,11, ......?
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Step-by-step explanation:
Given :-
a = 3
d = 7 - 3 = 4
Solution :-
a(n) = a + (n - 1)d
Let a(n) = 154
⇒ a(n) = a + (n - 1)d
⇒ 184 = 3 + (n - 1)4
⇒ 181/4 = n - 1
⇒ 45.25 = n - 1
⇒ 46.25 = n
Hence, 184 is not a term of given A.P.
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