Is $200$ any term of the sequence $3, 7, 11, 15, . . ?$

Yes

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Ambiguous

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Data insufficient

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Solution

The correct option is C No
Clearly, the given sequence is an AP with first term $a = 3$ and common difference $d = 7 - 3 = 4$ .
Let $n t h$ term of the given AP is $200$ .
$\Rightarrow a_{n} = a + (n - 1) d = 200$
$\Rightarrow 3 + (n - 1) \times 4 = 200$
$\Rightarrow 4 n - 1 = 200 \Rightarrow 4 n = 201$
$\Rightarrow n = \frac{201}{4}$
Here $n$ is not an positive integer.
Therefore, $200$ is not a given term of the given AP.

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