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ICSE Class 10 Answered

If a,b,c,d are in consecutive terms of GP prove that (a^2+b^2) +(b^2+c^2) +(c^2 +d^2) are in g.p
Asked by sameeksha | 23 Feb, 2018, 11:14: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight b squared equals ac straight c squared equals bd ad equals bc to space prove space open parentheses straight a squared plus straight b squared close parentheses open parentheses straight c squared plus straight d squared close parentheses equals open parentheses straight b squared plus straight c squared close parentheses squared RHS open parentheses straight b squared plus straight c squared close parentheses squared equals straight b to the power of 4 plus straight c to the power of 4 plus 2 straight b squared straight c squared equals straight a squared straight c squared plus straight b squared straight d squared plus straight b squared straight c squared plus straight a squared straight d squared equals straight c squared open parentheses straight a squared plus straight b squared close parentheses plus straight d squared open parentheses straight a squared plus straight b squared close parentheses equals open parentheses straight a squared plus straight b squared close parentheses open parentheses straight c squared plus straight d squared close parentheses end style
Answered by Arun | 23 Feb, 2018, 05:10: PM

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