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Question
Is 184 a term of the AP 3, 7, 11, 15, ….?
Solution
The given AP is 3,7,11,15,......
Here, a = 3and d = 7 - 3 = 4
Let the nth term of the given AP be 184. Then,
`a_n = 184`
⇒ 3+ (n-1) × 4 = 184 [an = a+ (n-1) d]
⇒ 4n - 1 = 184
⇒4n=185
⇒`n=185/4 = 46 1/4`
But, the number of terms cannot be a fraction.
Hence, 184 is not a term of the given aazzzAP.
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