Hon. Alg. 1 - 11/25/24 Do Now

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

Is the sequence 3, 15, 75 an arithmetic sequence?

Back

No, it is not an arithmetic sequence because the differences between terms are not constant.

Front

Is the sequence 3, 5, 7 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 2.

Front

Is the sequence 24, 15, 6 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of -9.

Front

What is the common difference in the arithmetic sequence 1, -2, -5?

Back

The common difference is -3.

Front

How do you find the n-th term of an arithmetic sequence?

Back

The n-th term can be found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the explicit formula for the n-th term of the sequence 2, 9, 16, 23?

Back

The explicit formula is a_n = 7n - 5.

Front

What is the first term of the arithmetic sequence defined by a_n = 3n + 2?

Back

The first term (a_1) is 5.

Front

If the common difference of an arithmetic sequence is 4, what are the first three terms if the first term is 2?

Back

The first three terms are 2, 6, 10.

Front

What is the common difference in the arithmetic sequence 10, 7, 4?

Back

The common difference is -3.