If a, b, c are in G.P., prove that the following are also in G.P.:(i) a^2, b^2, c^2(ii) a^3, b^3, c^

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If a, b, c are in G.P., prove that: a (b^2 + c^2) = c (a^2 + b^2) If a, b, c are in G.P., prove that: a (b^2 + c^2) = c (a^2 + b^2)
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If `a, b, c` are in `G. P.`, prove that `a^2+ b^2, ab + bc, b^2 +c^2` are also in `G.P` If `a, b, c` are in `G. P.`, prove that `a^2+ b^2, ab + bc, b^2 +c^2` are also in `G.P`
If a, b, c are in G.P., prove that: (a + b + c)^2 / (a^2 + b^2 + c^2) = (a + b + c) / (a - b + c) If a, b, c are in G.P., prove that: (a + b + c)^2 / (a^2 + b^2 + c^2) = (a + b + c) / (a - b + c)
Summation Formulas You Need to Know #Shorts #math #maths #mathematics Summation Formulas You Need to Know #Shorts #math #maths #mathematics
If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2. If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2.
If a, b, c ,d be in G.P. , show that(i) (b -c)^(2) + (c - a)^(2) +(d -b)^(2) = (a - d)^(2)(ii) a... If a, b, c ,d be in G.P. , show that(i) (b -c)^(2) + (c - a)^(2) +(d -b)^(2) = (a - d)^(2)(ii) a...