1,2,4,8,16,32,64 in exponential form?
1,2,4,8,16,32,64
or
2^0, 2^1, 2^2, 2^3, 2^4, ....
I will let you form the exponential equation
so like 8 is 2^8? And like 64 is 2^64???
no
4 = 2^2
8 = 2^3
16 = 2^4
32 = 2^5
etc
your equation is
number(n) = 2^(n-1) , were n > 0 , and n is an integer.
To express the given sequence in exponential form, we need to identify the pattern.
Looking at the sequence, we can notice that each number is obtained by multiplying the previous number by 2. For example:
- 2 = 1 × 2
- 4 = 2 × 2
- 8 = 4 × 2
- 16 = 8 × 2
- 32 = 16 × 2
- 64 = 32 × 2
To represent this pattern in exponential form, we can start with the first term, which is 1, and write it as 2^0.
Then, for each subsequent number, we add 1 to the exponent. In other words, the nth term in the sequence can be written as 2^(n-1), where n represents the position of the term in the sequence.
So, the given sequence in exponential form is:
1, 2^1, 2^2, 2^3, 2^4, 2^5, 2^6