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If a₁ = 23, d = 14, and a₍₅ₙ₊₄₎ = 555, what is the value of n?यदि a₁ = 23, d = 14 और a₍₅ₙ₊₄₎ = 555 है, तो n का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 77
Using aₖ = a₁ + (k − 1)d with k = 5n + 4 gives 555 = 23 + (5n + 3) × 14. Thus 532 = 14(5n + 3), so 5n + 3 = 38 and n = 7. Therefore, option B is correct.सूत्र aₖ = a₁ + (k − 1)d में k = 5n + 4 रखने पर 555 = 23 + (5n + 3) × 14 मिलता है। इसलिए 532 = 14(5n + 3), जिससे 5n + 3 = 38 और n = 7। अतः विकल्प B सही है।
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