Question
Download Solution PDFयदि a, b, c समान्तर श्रेढ़ी में हैं, तब:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
माना कि a, b, c… और आगे भी इसी प्रकार हमारी शृंखला है।
जैसा की हम जानते है सार्व अंतर = b - a, c - b
समांतर श्रेढ़ी में सार्व अंतर समान है।
b - a = c - b
गणना:
b – a = c – b
⇒ b + b = c + a
⇒ 2b = c + a
⇒ 2b = a + c
∴ a, b, c समान्तर श्रेढ़ी में हैं, तब 2b = a + c
Alternate Method
माना संख्या 1, 2, 3 है जो समान्तर श्रेढ़ी में हैं।
केवल एक विकल्प समीकरण को संतुष्ट करता है
2(2 ) 1 + 3 = इसलिए 2b = a + c सही विकल्प है।
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