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If the nth term of an AP is given by aₙ = 4n + 11, what are its first term and common difference?यदि किसी समान्तर श्रेणी का nवाँ पद aₙ = 4n + 11 है, तो उसका पहला पद और सार्व अंतर क्या हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: पहला पद 15, सार्व अंतर 4पहला पद 15, सार्व अंतर 4
The first term is a₁ = 4(1) + 11 = 15. The common difference is aₙ₊₁ − aₙ = 4, since increasing n by 1 increases the expression by 4.पहला पद a₁ = 4(1) + 11 = 15 है। सार्व अंतर aₙ₊₁ − aₙ = 4 है, क्योंकि n को 1 बढ़ाने पर दिए गए व्यंजक का मान 4 बढ़ता है।
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