6,12,24,48,96...... How can you define the nth term
To define the nth term of the sequence 6, 12, 24, 48, 96..., we need to look for a pattern in the sequence.
If we observe carefully, each term in the sequence is double the previous term. By multiplying each term by 2, we get the next term in the sequence. Therefore, the pattern can be described as:
nth term = 6 * (2^(n-1))
Here, n represents the position of the term in the sequence. For example, if you want to find the 5th term, substitute n=5 in the formula:
5th term = 6 * (2^(5-1))
= 6 * (2^4)
= 6 * 16
= 96
So, the formula gives us the specific term for any position n in the sequence.
How about this pattern
term(1) = 6 = 3(2^1)
term(2) = 12 = 3(2^2)
term(3) = 24 = 3(2^3)
term(4) = 48 = 3(2^4)
....
term(23) = .... = 3(2^23)
term(n) = .....