Question

some pieces of threads having length 2m, 4m, 8m then showthat the total length of 6th, 7th, and 8th, pieces is 448mts

Answer 1

Please see that the question is right or not

Answer 2

Answer:

Given : some pieces of threads having length 2m, 4m, 8m

To Find : show that the total length of 6th, 7th, and 8th, pieces is 448 m

Solution:

The pieces are given in the pattern $2^n$

where n is the rank of piece

Substitute n =1

So, length of 1st piece = 2

Substitute n =2

So, length of 2nd piece = 4

Substitute n =3

So, length of 3rd piece = 8

Now substitute n = 6

So, length of 6th piece = $2^6 = 64$

Now substitute n = 7

So, length of 7th piece = $2^7 = 128$

Now substitute n = 8

So, length of 8th piece = $2^8 = 256$

So, sum of 6th ,7th and 8th piece = 64+128+256 = 448

Hence proved.