It suggests that it is '2' to a given power/index number/ exponential.
1 = 2^(0)
2 = 2^(1)
4 = 2^(2)
Then
2^(3) = 8
2^(4) = 16
et seq.
When the power is less than '0'
2^(-1) = 1/2^(1) = 1/2 ( 0.5)
2^(-2) = 1 / 2^(2) = 1/4 (0.25)
2^(-3) = 1/2^(3) = 1/8 = ( 0.125)
et seq.
i0 = 4; in = in-1 - 3
1254
It is called equivalent fractions 1\2 1/4 1/8
add 4 to every other number 1(+4)=5, 5(+4)=9 2(+4)=6
The vector (6, -2)T
2 squared 1 = 4 so the divisibility rule is that it is divisible by 1, 2 and 4.
i0 = 4; in = in-1 - 3
the rule is plus 2 1/3
1254
There are infinitely many possible answers. Rule 1: Add 9 to Input Rule 2: Add 5 to 2*Input Rule 3: Add 1 to 3*Input Rule 4: Subtract -3 from 4*Input or, moving away from whole numbers, Add 3.8 to 2.3 times Input.
It is called equivalent fractions 1\2 1/4 1/8
add 4 to every other number 1(+4)=5, 5(+4)=9 2(+4)=6
n2 - 1(4)2 - 116 - 1= 15====
Divide by 2 to get the next term.
The vector (6, -2)T
one rule would be an+1 = an + 4 ; a0= 4. This gives 4,8,12,16,20,..... This is called an arithmetic sequence. A geometric rule would be an+1 = 2an; a0= 4. This gives 4,8,16,32,64,... Another rule is an+1 = an/2 + 6 ; a0= 4. This gives 4, 8, 10, 11, 11.5,11.75, ....
Add the increasing numbers by one - as in 0 1 2 3 4 5 6 etc 1 + 0 = 1 1 + 1 = 2 2 + 2 = 4 4 + 3 = 7 7 + 4 = 11 11 + 5 = 16 16 + 6 = 22