Write a rule for each sequence.
2, 6, 10, 14,…
You appear to be adding 4 each time, starting with 2, so obviously
y = 4x -2 , where x is a whole number starting with x = 1
or
term(1) = 2
term(n) = term(n-1) + 4 , n > 1
WHAT ARE THE ANSWERS!!!!!!!!!!
To generate each term of the sequence, you can follow this rule:
Start with the number 2.
Add 4 to the previous term to get the next term.
Repeat the process for subsequent terms.
Using this rule, the sequence can be generated as follows:
2, 2 + 4 = 6, 6 + 4 = 10, 10 + 4 = 14, ...
To find a rule for the given sequence 2, 6, 10, 14,..., we need to analyze the pattern between consecutive terms.
From the given sequence, we can observe that each term is obtained by adding 4 to the previous term.
Therefore, the rule for this sequence would be:
nᵗʰ term = (n-1) * 4
In this rule, the variable n represents the term number in the sequence. For example, when n = 1, the first term is obtained by (1-1)*4 = 0*4 = 0 + 2 = 2. Similarly, when n = 2, the second term is obtained by (2-1)*4 = 1*4 = 4 + 2 = 6. This pattern continues for subsequent terms.