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If (4, 9, 14,\ldots) and (20, 16, 12,\ldots) are added term by term, what type will the new sequence be?यदि (4, 9, 14,\ldots) और (20, 16, 12,\ldots) को पद-दर-पद जोड़ा जाए, तो नया अनुक्रम कैसा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Arithmetic progression with (d=1)(d=1) वाली अंकगणितीय श्रेणी
The common differences are (5) and (-4), so the sum sequence has (d=1). The termwise sum of two arithmetic progressions is also an arithmetic progression.दोनों सार्व अंतर (5) और (-4) हैं, इसलिए योग अनुक्रम का (d=1)। दो अंकगणितीय श्रेणियों का पद-दर-पद योग भी अंकगणितीय श्रेणी होता है।
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