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is 184 a term of the AP 3, 7, 11, 15, .....

is `184` a term of the `AP 3, 7, 11, 15, ...?`

Text Solution

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The correct Answer is:
No
Let `T_(n) = 184. "Then", a + (n-d) = 184`
`therefore 3 + (n-1) xx 4 = 184 rArr n-1 = (181)/(4) rArr n = ((181)/(4) +1) = (185)/(4) = 46 (1)/(4)`
Thus, n is not a natural number.
So, 184 is not a term of the given AP.
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