Algebra-1

To find the explicit formula for the sequence 10, 7, 4, 1, ..., follow these steps:

Identify the common difference:

Calculate the differences between consecutive terms:

7−10=−3

4−7=−3

1−4=−3

The common difference d is -3.

Find the first term : The first term  is 10.

Use the formula for the n-th term of an arithmetic sequence:

=  + (n − 1)d

Plug in =10 and d=−3: