256 is your answer. Here in this sequence you have to use multiplication. By multiplication rule you will get the answer. Multiply each of the number by number 4. The sequence for 1,4,16,64 is  1*4 =4 , 4*4=16, 16*4= 64, 64*4 = 256. You can find answer applying this method. Hope this was helpful.

Hello,

This a problem of GP:

Here a=1

r=4

Here I m using '^' for refering to the power

Formula for n term is : a*r^(n-1)

Here n is 5

So the next term is 1*(4^4)= 256

So the and is 256

Hello there!

Greetings!

It's quite easy. Next term  can be easily determined by recognizing how the previous terms are calculated. Observe the below pattern

1x4 =4

4x4=16

16x4 =64

Then next term will be given by

64x4 =256.

Hence , next term is 256

Thankyou

You can see that each term is getting four times its initial term. Upon dividing the each term by its previous term, it can be seen clearly (16/4 = 4 and 64/16 = 4).

Hence, the required term will be four times the number 64 i.e., the required number is 64*4 = 256.