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If a_n = 7n + c and a_6 = 61, what is r when a_{4r} = 313?यदि a_n = 7n + c और a_6 = 61 है, तो a_{4r} = 313 होने पर r का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 10.510.5
Using a_6 = 61 gives 42 + c = 61, so c = 19. Then a_{4r} = 28r + 19 = 313, so 28r = 294 and r = 10.5. This gives the integer term index 4r = 42.a_6 = 61 से 42 + c = 61, इसलिए c = 19। फिर a_{4r} = 28r + 19 = 313 से 28r = 294 और r = 10.5 मिलता है। इससे पद का सूचकांक 4r = 42, जो पूर्णांक है।
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