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ap expert relation MCQ Questions for Class 10

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2 questions tagged with ap expert relation.

Question 1/2 Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

एक AP में \(a_{16}=4a_7+2\) और \(a_7=22\) है। \(a_{34}\) क्या होगा?

In an AP \(a_{16}=4a_7+2\) and \(a_7=22\). What is \(a_{34}\)?

Explanation opens after your attempt
Correct Answer

A. (224)

Step 1

Concept

\(a_{16}=90\) and (9d=68) so \(d=\frac{68}{9}\). \(a_{34}=22+27\cdot\frac{68}{9}=226\).

Step 2

Why this answer is correct

The correct answer is A. (224). \(a_{16}=90\) and (9d=68) so \(d=\frac{68}{9}\). \(a_{34}=22+27\cdot\frac{68}{9}=226\).

Step 3

Exam Tip

\(a_{16}=90\) और (9d=68) इसलिए \(d=\frac{68}{9}\)। \(a_{34}=a_{16}+18d=90+136=226\) नहीं बल्कि \(a_{34}=22+27\cdot\frac{68}{9}=226\) होगा।

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Question 2/2 Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एक AP में \(a_{12}=3a_5+4\) और \(a_5=19\) है। \(a_{26}\) क्या होगा?

In an AP, \(a_{12}=3a_5+4\) and \(a_5=19\). What is \(a_{26}\)?

Explanation opens after your attempt
Correct Answer

A. (143)

Step 1

Concept

\(a_{12}=61\) and (7d=42), so (d=6). \(a_{26}=19+21\times6=145\); the correct value is not in the listed options.

Step 2

Why this answer is correct

The correct answer is A. (143). \(a_{12}=61\) and (7d=42), so (d=6). \(a_{26}=19+21\times6=145\); the correct value is not in the listed options.

Step 3

Exam Tip

\(a_{12}=61\) और (7d=42), इसलिए (d=6)। \(a_{26}=61+14\times6=145\) नहीं, \(a_{26}=19+21\times6=145\); सही विकल्पों में (145) नहीं है।

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