Question

Write the term-to-term rule, position-to-term rule and the nth term for this sequence.

3,7,11,15,19,...
a) term-to-term rule:
b) position-to-term rule:
C) nth term:"

Answer 1

The term-to-term rule is 'add 4', the position-to-term rule is 'add 4', and the nth term is Tn = 3 + (n-1) * 4.

Step-by-step explanation:

The sequence given is 3, 7, 11, 15, 19, ...

a) Term-to-term rule: To get from one term to the next, we add 4. So the term-to-term rule is 'add 4'.

b) Position-to-term rule: The first term is 3, and the second term is 3 + 4 = 7. The third term is 7 + 4 = 11. We can see that each term is obtained by adding 4 to the previous term. So the position-to-term rule is 'add 4'.

c) Nth term: The sequence follows a linear pattern. The first term is 3, and the common difference is 4. So the nth term can be written as Tn = 3 + (n-1) * 4.