Arithmetic Sequences and Series

What is the difference between a sequence and series?

• A sequence is a set of numbers, while a series is the sum of those numbers.

• A sequence is a list of numbers, while a series is a list of numbers with a constant difference.

• A sequence has a finite number of terms, while a series has an infinite number of terms.

• A sequence is always arithmetic, while a series is always geometric.

What is TRUE about an arithmetic sequence?

• The ratio between any two consecutive terms is constant.

• The difference between any two consecutive terms is constant.

• The terms increase or decrease exponentially.

• The terms are always positive.

Which of the following is an arithmetic sequence?

• 2, 4, 8, 16, ...

• 10, 7, 4, 1, ...

• 1, 1, 2, 3, ...

• 1, 4, 9, 16, ...

Which of the following is TRUE about the sequence 10, 8, 6, 4,...

• The rule for the sequence is to add 2 to get the next terms.

• The given sequence is a finite sequence.

• The sequence is geometric.

• The common difference of the sequence is -2.

In the given formula, u₁ stands for the (a)   .

In the given formula, d stands for the (a)   .

When do you use the S_n formula?

• To compute for the n^th term of a sequence

• To compute for the sum of the terms in a sequence

• To look for the missing term in a sequence

• To locate the placement of a term

For the arithmetic sequence -6, 1, 8, 15, 22, ..., what is the 15th term?

• 98

• 92

• 85

• 105

What is the sum of the first 10 terms (S10) of the arithmetic sequence -6, 1, 8, 15, 22, ...?

• 245

• 255

• 265

• 275

The common difference of an arithmetic sequence is -2 and its first term is 1. If the 15th term is -27, what is the sum of these fifteen terms?

• -210

• -195

• 195

• 210