Arithmetic Sequences by Vons

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

How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

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

Back

d = 3.

Front

What is the explicit formula for an arithmetic sequence?

Back

The explicit formula is 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 of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?

Back

a_5 = 4 + (5-1)2 = 4 + 8 = 12.

Front

Given the sequence: 10, 15, 20, 25,... Write the explicit equation that models the sequence.

Back

a_n = 10 + (n-1)5.

Front

What is the common difference in the sequence: -1, -4, -7, -10,...?

Back

d = -3.

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Front

Given the sequence: 100, 90, 80, 70,... What is the common difference?

Back

d = -10.

Front

Write the explicit equation for the sequence: 3, 6, 9, 12,...

Back

a_n = 3n.