CUET PG 2022 — Mathematics PYQ

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Question

CUET PG 2022 — Mathematics PYQ

CUET PG | Mathematics | 2022

The terms 1, $l o g_{2} (x)$ , $l o g_{2} (y)$ and -15 $l o g_{2} (z)$ are in AP. Based on this information answer the following questions.
The common difference of AP is:

Choose the correct answer:

Explanation

AP ka $n^{th}$ term ka formula hota hai:

a_n = a_1 + (n - 1)d

Yahan hamare paas $n = 4$ terms hain:

$a_1 = 1$
$a_4 = -15\log_2(z)$

In values ko formula mein rakhne par:

-15\log_2(z) = 1 + (4 - 1)d

-15\log_2(z) = 1 + 3d

Yahan se $3d$ ki value nikaalte hain:

3d = -15\log_2(z) - 1

Ab $d$ ki value nikaalne ke liye dono taraf $3$ se divide karenge:

d = \frac{-15\log_2(z) - 1}{3}

d = -5\log_2(z) - \frac{1}{3}