Sum of series!

Find the sum to n terms of the series :

3/4 + 15/16 + 63/64 + .......=

(a) n-(4^n/3) + 1/3
(b) n-(4^n/3) - 1/3
(C) n-(4^-n/3) +1/3
(D) n-(4^-n/3) - 1/3

13 Answers

24
eureka123 ·

easy dude
r=1Σn4r-14r

=>r=1Σn1-14r
=>n-[1/4(1-1/4n)1-1/4]
=>n-4n-13.4n

23
qwerty ·

the question is

\sum{1 - \frac{1}{4^{n}}}

=n - \frac{\frac{1}{4}[ \frac{1}{4^{n}} - 1 ] }{\frac{1}{4}-1}

or simply put n = 1 [3]

23
qwerty ·

ohh..i didnt see dat

23
qwerty ·

eure ..put n =1 in ur ans ...it isnt coming 3/4 ...

1
Maths Musing ·

in the fourth line you have missed 14n
so ans, n - 4n-13 x 4n

24
eureka123 ·

thx for correction guys

23
qwerty ·

all options are wrong na ?

it shud be n + 4-n - 1
3

1
Maths Musing ·

option c
n - 14n x 3 + 13
or n + 4n-13 x 4n closest i think but certainly not correct.

23
qwerty ·

put n =1 in #9 eqn of urs ..it isnt coming 3/4 ...

1
Maths Musing ·

its not my solution ,i am talking about the option c being closest to correct ans, which is post 6.

23
qwerty ·

kk.....but we cant mark that one if it comes in the exam ...lolz ...i think there is a typo by soumi while posting d ques

1
Maths Musing ·

yeah it happens some time.

1
rahuliit ·

is this a sof science olympiad ques how was the paper dude

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