Please find the next term of the sequence: 1, 4, 16, 64.
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
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.