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Question Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि $a_{n+3}-a_n=30$ है और $a_{10}=68$ है तो $a_{31}$ क्या होगा?

If $a_{n+3}-a_n=30$ and $a_{10}=68$, what is $a_{31}$?

Explanation opens after your attempt

Correct Answer

C. (278)

Step 1

Concept

(3d=30), so (d=10). $a_{31}=68+21\times10=278$.

Step 2

Why this answer is correct

The correct answer is C. (278). (3d=30), so (d=10). $a_{31}=68+21\times10=278$.

Step 3

Exam Tip

(3d=30) इसलिए (d=10)। $a_{31}=68+21\times10=278$।

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AI Video Prompt 16:9 + 9:16

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Question Page:
https://muftshiksha.com/question/if-a-n-3-a-n-30-and-a-10-68-what-is-a-31

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 65

Question Hindi:
यदि (a_{n+3}-a_n=30) है और (a_{10}=68) है तो (a_{31}) क्या होगा?

Question English:
If (a_{n+3}-a_n=30) and (a_{10}=68), what is (a_{31})?

Options:
A. (268)
B. (272)
C. (278)
D. (284)

Correct Answer:
C. (278)

Explanation Hindi:
(3d=30) इसलिए (d=10)। (a_{31}=68+21\times10=278)।

Explanation English:
(3d=30), so (d=10). (a_{31}=68+21\times10=278).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Make 9:16 version for Shorts/Reels.
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- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
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Question Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि $a_{n+2}-a_{n}=18$ है और $a_9=74$ है तो $a_{25}$ क्या होगा?

If $a_{n+2}-a_n=18$ and $a_9=74$, what is $a_{25}$?

Explanation opens after your attempt

Correct Answer

C. (218)

Step 1

Concept

$a_{n+2}-a_n=2d=18$, so (d=9). $a_{25}=74+16\times9=218$.

Step 2

Why this answer is correct

The correct answer is C. (218). $a_{n+2}-a_n=2d=18$, so (d=9). $a_{25}=74+16\times9=218$.

Step 3

Exam Tip

$a_{n+2}-a_n=2d=18$ इसलिए (d=9)। $a_{25}=74+16\times9=218$।

Open Question Page

AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/if-a-n-2-a-n-18-and-a-9-74-what-is-a-25

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 64

Question Hindi:
यदि (a_{n+2}-a_{n}=18) है और (a_9=74) है तो (a_{25}) क्या होगा?

Question English:
If (a_{n+2}-a_n=18) and (a_9=74), what is (a_{25})?

Options:
A. (210)
B. (216)
C. (218)
D. (222)

Correct Answer:
C. (218)

Explanation Hindi:
(a_{n+2}-a_n=2d=18) इसलिए (d=9)। (a_{25}=74+16\times9=218)।

Explanation English:
(a_{n+2}-a_n=2d=18), so (d=9). (a_{25}=74+16\times9=218).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

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यदि \(a_{n+3}-a_n=30\) है और \(a_{10}=68\) है तो \(a_{31}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(a_{n+2}-a_{n}=18\) है और \(a_9=74\) है तो \(a_{25}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

Search Class 10 Questions

यदि \(a_{n+3}-a_n=30\) है और \(a_{10}=68\) है तो \(a_{31}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(a_{n+2}-a_{n}=18\) है और \(a_9=74\) है तो \(a_{25}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

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