the sum of the first n terms of the series 1/2+3/4+7/8+15/16+..... is equal to???
mansi dabriwal , 9 Years ago
Grade 12th pass
Algebra> the sum of the first n terms of the serie...
3 AnswersShubham Sawarkar
Last Activity: 9 Years ago
tn=(2n-1)/2n
=1-1/2n
Sn=∑1-1/2n =n-∑1/2n (gp series)
=n-1+2-n
Shivraj
Last Activity: 6 Years ago
Sn=1/2 + 3/4 + 7/8 ........ n terms
= (1- 1/2) + (1- 1/4) + ( 1 - 1/8 )...... n terms
=n -1/2[1-2--n]/1-1/2
n -1/2 ×2[1-2--n-n]
n-1+2--n
Kushagra Madhukar
Last Activity: 4 Years ago
Dear student,
Please find the solution to your problem.
tn = (2n – 1)/2n
= 1 – 1/2n
Sn = ∑1 – 1/2n = n – ∑1/2n (gp series)
= n – 1 + 2-n
Thanks and regards,
Kushagra
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