The sum of GP (of infinite terms) is: S ∞ = a/(1-r), when |r| The sum of GP (of n terms) is: S n = na, when r = 1.The sum of GP (of n terms) is: S n = a(r n - 1) / (r - 1) S n = a(1 - r n) / (1 - r), if r ≠ 1.is an infinite geometric series with a = 1 and r = 1/2. Taking 's 2' as common factor, the sum of areas is, s 2 ( 1 + 1/2 + 1/4 +. The areas of squares thus formed are, s, s 2/2, s 2/4, s 2/8. If a side of the first square is "s" units, determine the sum of areas of all the squares so formed? A third square is drawn inside the second square in the same way and this process is continued indefinitely.
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