Question
Download Solution PDFएक G. P का चौथा पद 8 और दसवां पद 27 है। तो इसका छठा पद क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
हम मानते हैं कि अनुक्रम a1, a2, a3 …. an एक G.P. है
- सार्व अनुपात = r =
- G.P. का nवां पद है = arn−1
- n पदों का योग = s =
; जहाँ r >1 - n पदों का योग = s =
; जहाँ r <1
गणना:
दिया हुआ:
एक G. P का चौथा पद 8 और दसवां पद 27 है
G.P. का nवां पद Tn = a rn-1 है
∴ T4 = a. r3 = 8 ----(1)
T10 = a r9 = 27 ----(2)
समीकरण (2) ÷ (1), हमें मिलता
∴
T6 = a r5
= a r3.r2
= 12
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