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If (a_1=5) and (a_{n+1}=a_n+8n-3), what is (a_4)?यदि (a_1=5) और (a_{n+1}=a_n+8n-3) है तो (a_4) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4444
Apply the recursive rule successively for n=1, 2, and 3: a_2=5+(8×1-3)=10, a_3=10+(8×2-3)=23, and a_4=23+(8×3-3)=44. Therefore, the correct answer is 44. A value such as 41 results from using an incorrect increment at one of the steps. Exam tip: to find a_4, apply the rule step by step from n=1 to n=3.पुनरावर्ती नियम में क्रमशः n=1, 2, 3 रखने पर प्राप्त होता है: a_2=5+(8×1-3)=10, a_3=10+(8×2-3)=23 और a_4=23+(8×3-3)=44। अतः सही उत्तर 44 है। 41 तब मिलता यदि किसी चरण में वृद्धि का मान गलत लिया जाए। परीक्षा टिप: a_4 ज्ञात करने के लिए नियम को n=1 से n=3 तक क्रमशः लागू करें।
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