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If a_1 = 4 and a_(n+1) = a_n + 4, which term is 20?यदि a_1 = 4 और a_(n+1) = a_n + 4 है, तो 20 कौन-सा पद है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 5th5th
The governing concept is a recursive rule with a constant increase of 4. Starting from a_1 = 4, the terms are 4, 8, 12, 16, and 20. Counting from the first position shows that 20 is a_5, the fifth term. Therefore option B is correct. The fourth term is only 16, while the sixth and seventh terms would be 24 and 28.यह पुनरावर्ती नियम है जिसमें हर बार 4 की समान वृद्धि होती है। a_1 = 4 से शुरू करने पर पद मिलते हैं: 4, 8, 12, 16, 20। क्रम गिनने पर 20 पाँचवें स्थान पर आता है, अर्थात यह पाँचवाँ पद है। इसलिए विकल्प B सही है। चौथा पद 16 है, जबकि छठा और सातवाँ पद क्रमशः 24 और 28 होंगे।
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