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If (a+3d-a=36) in (a,a+d,a+2d,a+3d), what is (d)?यदि (a,a+d,a+2d,a+3d) में (a+3d-a=36) है तो (d) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(12\)\(12\)
Given \(a+3d-a=36\). Cancelling \(a\) gives \(3d=36\), so \(d=36/3=12\). There are three equal gaps, not four, between the first term \(a\) and the fourth term \(a+3d\). Exam tip: In the \(n\)th term \(a+(n-1)d\) of an AP, count the number of gaps between terms carefully.दिया है \(a+3d-a=36\)। दोनों ओर से \(a\) हटाने पर \(3d=36\) मिलता है। अतः \(d=36/3=12\)। पहले पद \(a\) और चौथे पद \(a+3d\) के बीच तीन समान अंतर होते हैं, चार नहीं। परीक्षा टिप: AP के \(n\)वें पद \(a+(n-1)d\) में पदों के बीच अंतरालों की संख्या गिनें।
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