Question

The first five terms of an arithmetic sequence are given below:

a) -7, -3, 1, 5, 9... What is the term-to-term rule?
A) Add 4 to each term.
B) Subtract 4 from each term.
C) Multiply by 4.
D) Divide by 4.

Answer 1

The term-to-term rule for the arithmetic sequence given is to Add 4 to each term, as each term increases by 4 from the previous one. This is verified by checking the sequence and ensuring the pattern holds for multiple terms.

Step-by-step explanation:

The arithmetic sequence given is -7, -3, 1, 5, 9. To determine the term-to-term rule, observe how each term changes to get to the next one. Starting with the first term (-7), adding 4 results in the second term (-3). Continuing this pattern, adding 4 to -3 gives 1, adding 4 to 1 gives 5, and adding 4 to 5 gives 9. This consistent addition of 4 to move from one term to the next indicates that the correct term-to-term rule is Add 4 to each term, which is option A. Always remember to check the answer to see if it is reasonable by verifying it with multiple terms in the sequence, if possible.