Suppose be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is and the sum of all terms of the arithmetico-geometric progression is , then is equal to ________.

16 Explanation: Step 1: Terms ko define karna Maan lijiye AP ka pehla term hai aur common difference hai. AGP ke terms niche diye gaye hain: Third term: (Yeh value di gayi hai) Teesri term se humein ek equation milti hai: Step 2: Sum of terms ka use karna Humein diya gaya hai ki sabhi terms ka sum hai: (Yahan rakha gaya hai) Step 3: aur ki value nikalna se ki value is equation mein rakhte hain: Ab ki value mein rakh kar nikalte hain: Step 4: ki value nikalna Ab hum calculate kar sakte hain: Final Answer:

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Suppose $a_1, a_2, 2, a_3, a_4$ be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is $2$ and the sum of all $5$ terms of the arithmetico-geometric progression is $\frac{49}{2}$ , then $a_4$ is equal to ________.

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Terms ko define karna

Step 2: Sum of terms ka use karna

Step 3: $A$ aur $d$ ki value nikalna

Step 4: $a_4$ ki value nikalna

Explanation

Step 1: Terms ko define karna

Step 2: Sum of terms ka use karna

Step 3: $A$ aur $d$ ki value nikalna

Step 4: $a_4$ ki value nikalna

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