FLASHCARD: 12.3 Arithmetic Sequence and Series

Front

What do we call the sum of a sequence of numbers?

Back

Series

Front

Identify the common difference in the sequence: 97, 86, 75, 64, ...

Back

-11

Front

What is the 50th term of the sequence: 13, 7, 1, ...?

Back

-281

Front

Find the sum of the series: 10 + 20 + 30 + ... + 40

Back

100

Front

Given a_n = 3 + (n-1)(-9), what is the common difference?

Back

-9

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

If the first term is 5 and the common difference is 3, what is the 4th term?

Back

14

Front

What is the sum of the first n terms of an arithmetic series?

Back

S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.

Front

What is the common difference in the sequence: 2, 5, 8, 11, ...?

Back

3