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CAT

Algebra

Medium

$-5150$

$-5051$

$-5050$

$-5151$

✅ Correct Option: 3

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The average of a non-decreasing sequence of $N$ numbers $a_{1}, a_{2}, \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$ , the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is

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The value of $1+\left(1+\frac{1}{3}\right) \frac{1}{4}+\left(1+\frac{1}{3}+\frac{1}{9}\right) \frac{1}{16}+\left(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\right) \frac{1}{64}+\ldots \ldots$ , is

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The average of all 3-digit terms in the arithmetic progression $38, 55, 72, \dots$ , is

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