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 \(a_{31}\)?
#ap expert algebra pattern
A (31x-120)
B (31x-124)
C (31x-128)
D (31x-132)
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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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 \(a_{27}\)?
#ap expert algebra pattern
A (27x-83)
B (27x-87)
C (27x-89)
D (27x-93)
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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