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r is worth - 0.542 mathematically if 1 2 r plus 6.5.
It is: 1+9+2 = 12
( a + ar ) = a ( 1 + r )
a+a*r+a*r^2+...+a*r^n a = first number r = ratio n = "number of terms"-1
Sum of a geometric progression with first term a and constant different r is given by:sum_gp = a(1 - rn)/(1 - r)Required sum is:Sum =0.5 + 0.55 + 0.555 + ... [n terms]= 5 (0.1 + 0.11 + 0.111 + ... [n terms])= 5 (1/10 + 11/100 + 111/1000 + ... [n terms])Multiply by 9/9 (= 1):= 5/9 (9/10 + 99/100 + 999/1000 + ... [n terms])= 5/9 [ (1 - 1/10) + (1 - 1/100) + (1 - 1/1000) + ... + (1 - 1/(10n) ]= 5/9 [ (1 + 1 + 1 + ... [n terms]) - (1/10 + 1/100 + ... + 1/10n) ]= 5/9 [ n - 1/10 (1 - (1/10)n) / (1 - 1/10) ]= 5/9 [ n - 1/9 (1 - (1/10)n) ]= 5/9 [ n - 1/9 (1 - 0.1n) ]= 5/9 [ n - (10n - 1) / (9 x 10n) ]