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In an arithmetic progression, if a₉ = 43 and a₁₄ = 2a₉ + 17, what is a₃₄?एक समांतर श्रेणी में, यदि a₉ = 43 और a₁₄ = 2a₉ + 17 है, तो a₃₄ का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 343343
First, a₁₄ = 2(43) + 17 = 103. Since a₁₄ − a₉ = 5d, the common difference is d = (103 − 43)/5 = 12. Therefore, a₃₄ = a₉ + 25d = 43 + 25(12) = 343.पहले, a₁₄ = 2(43) + 17 = 103। चूँकि a₁₄ − a₉ = 5d, इसलिए सार्व अंतर d = (103 − 43)/5 = 12 है। अतः a₃₄ = a₉ + 25d = 43 + 25(12) = 343।
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