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If the nth term of an arithmetic progression is given by a_n = 17n + c and a_7 = 145, what is r if a_{3r} = 757?यदि किसी समांतर श्रेणी का nवाँ पद a_n = 17n + c है और a_7 = 145, तो a_{3r} = 757 होने पर r का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 43/343/3
Using a_7 = 17(7) + c = 145 gives c = 26. Then a_{3r} = 17(3r) + 26 = 757, so 51r = 731 and r = 731/51 = 43/3. Indeed, 3r = 43, and a_43 = 17(43) + 26 = 757.a_7 = 17(7) + c = 145 से c = 26 मिलता है। अब a_{3r} = 17(3r) + 26 = 757, इसलिए 51r = 731 और r = 731/51 = 43/3। वास्तव में, 3r = 43 है और a_43 = 17(43) + 26 = 757।
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