In Sequence

What is the 20th term of the arithmetic sequence 13, 19, 25, 31, ...?

The common difference is 19 – 13 = 6. Now that we know that we can find the 20th term by 13 + 6(20 – 1). Thus, the 20th term is 127.

What is the sum of A and B in the arithmetic sequence 7, 15, 23, A, 39, B, ...?

Sequences and Patterns

This Saturday’s date, 02-10-18, forms an arithmetic sequence since 2 + 8 = 10 and 10 + 8 = 18. In honor of this occurrence, try your hand at solving these problems involving sequences and patterns.

 

What is the tenth term of the sequence −50, −49, −47, −44, −40, …?