Answer: The given information states that the first term of the sequence is 4 and the common difference is -3.
To find the subsequent terms of the sequence, we can use the formula for arithmetic sequences, which is:
an = a1 + (n-1)d
Where:
- an is the nth term of the sequence
- a1 is the first term of the sequence
- d is the common difference
- n is the position of the term we want to find
Let's calculate the first few terms using this formula:
For n = 1:
a1 = 4 + (1-1)(-3) = 4
For n = 2:
a2 = 4 + (2-1)(-3) = 1
For n = 3:
a3 = 4 + (3-1)(-3) = -2
And so on. We can continue this pattern to find as many terms as needed.
Therefore, the sequence with a first term of 4 and a common difference of -3 is:
4, 1, -2, -5, -8, ...
Each term is found by subtracting 3 from the previous term in the sequence.
Explanation: