Arithmetic Sequences

Front

What is an arithmetic sequence?

Back

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

Tags

CCSS.HSF.BF.A.2

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).

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference: 2, 5, 8, 11, ...

Back

d = 3

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference: 10, 7, 4, 1, ...

Back

d = -3

Tags

CCSS.HSF.BF.A.2

Front

Is the following sequence arithmetic? 3, 6, 12, 24, ...

Back

NO

Tags

CCSS.HSF.BF.A.2

Front

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

Back

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

Tags

CCSS.HSF.BF.A.2

Front

Find a_10 in the arithmetic sequence: 4, 9, 14, 19...

Back

a_10 = 49

Tags

CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: 15, 20, 25, 30, ...

Back

35, 40, 45

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The sum (S_n) can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

Find the 5th term in the arithmetic sequence: 7, 14, 21, ...

Back

35

Tags

CCSS.HSF.BF.A.2