00:01
Hi, in the given question we have the given series is summation n varies from 1 to infinity 8 upon 7 into n to the power 4.
00:13
We have to compute the value of s5.
00:16
Now to find the value of s5 we will simplify this series as taking 8 by 7 outside.
00:24
Summation n varies from 1 to infinity 1 upon n to the power.
00:30
4 we have to simplify it just for the first summation of 5 terms so we will put the value of n is equal to 1 2 3 4 5 this gives us 8 by 7 in bracket 1 upon 1 to the power 4 is 1 plus 1 upon 2 to the power 4 is 16 plus 1 upon 3 to the power 4 is 81 plus 1 upon 4 to the power 4 is 256 plus 1 .5 to the power 4 is 3125.
01:07
Simplifying it, we get the value of s5 is equal to 8 upon 7 in bracket 1 .079.
01:18
Therefore we get the value of s5 is approximately equals to 1 .2 double 3.
01:27
Now by using the s -5 we have to compute the error function r5.
01:34
We know that the error function is given as 7 by 8 into integral over.
01:42
Here we have to find the error function for the 5 term...