find x so that x,x+2,x+b are consecutive terms of geometric progression
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(x+2)² = x(x+b)
x² + 4 + 2×x×2 = x² + bx
x² + 4 + 4x = x² + bx
4+4x = bx
4x-bx = -4
x(4-b) = -4
x = -4 / 4-b
x² + 4 + 2×x×2 = x² + bx
x² + 4 + 4x = x² + bx
4+4x = bx
4x-bx = -4
x(4-b) = -4
x = -4 / 4-b
Anonymous:
if three terms are in GP then , a,b,c , then b² = ac
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