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in Arithmetic Progression by (44.3k points)
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सिद्ध कीजिए कि an = 4n + 5 के द्वारा स्पष्ट अनुक्रम < an > एक समान्तर अनुक्रम है तथा समान्तर श्रेणी का सार्वअन्तर भी ज्ञात कीजिए।

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दिया है 

an = 4n + 5

अतः a1 = 4 × 1 + 5 = 9

a2 = 4 × 2 + 5 = 13

a3 = 4 × 3 + 5 = 17

अतः श्रेणी a1, a2,a3,…. या 9,13,17,…

एक समान्तर अनुक्रम है।

अतः सार्वअन्तर, d = a2 – 44

⇒ d = 13 – 9

⇒ d = 4

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