If a, b, c, d are in a geometric progression (G.P.), prove that (a^2 + b^2 + c^2) + (b^2 + c^2 + d^2) = (ab + bc + cd).
Added by Jonathan G.
Step 1
We can use this information to simplify the expression on the right-hand side of the equation we want to prove: ab + bc + cd = b(a+c) + cd = b(a+c) + c(c/b) d = b(a+c) + c²(d/b) Now, let's look at the left-hand side of the equation we want to prove: (a² + b² + Show moreā¦
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