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ap expert algebra pattern MCQ Questions for Class 10

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2 questions tagged with ap expert algebra pattern.

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

यदि समान्तर श्रेणी में \(a_7=7x-8\), \(a_{15}=15x-48\) और \(a_{23}=23x-88\) हैं, तो \(a_{31}\) क्या होगा?

If in an AP \(a_7=7x-8\), \(a_{15}=15x-48\), and \(a_{23}=23x-88\), what is \(a_{31}\)?

Explanation opens after your attempt
Correct Answer

C. (31x-128)

Step 1

Concept

The group difference of equally spaced terms is (8x-40). \(a_{31}=a_{23}+8x-40=31x-128\).

Step 2

Why this answer is correct

The correct answer is C. (31x-128). The group difference of equally spaced terms is (8x-40). \(a_{31}=a_{23}+8x-40=31x-128\).

Step 3

Exam Tip

समान दूरी वाले पदों का समूह अंतर (8x-40) है। \(a_{31}=a_{23}+8x-40=31x-128\)।

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

यदि समान्तर श्रेणी में \(a_6=6x-5\), \(a_{13}=13x-33\) और \(a_{20}=20x-61\) हैं, तो \(a_{27}\) क्या होगा?

If in an AP \(a_6=6x-5\), \(a_{13}=13x-33\), and \(a_{20}=20x-61\), what is \(a_{27}\)?

Explanation opens after your attempt
Correct Answer

C. (27x-89)

Step 1

Concept

The group difference of equally spaced terms is (7x-28). \(a_{27}=a_{20}+7x-28=27x-89\).

Step 2

Why this answer is correct

The correct answer is C. (27x-89). The group difference of equally spaced terms is (7x-28). \(a_{27}=a_{20}+7x-28=27x-89\).

Step 3

Exam Tip

समान दूरी वाले पदों का समूह अंतर (7x-28) है। \(a_{27}=a_{20}+7x-28=27x-89\)।

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