10.1/10.2

Front

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

Back

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

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The common difference (d) in an arithmetic sequence is found by subtracting the first term from the second term: d = a_2 - a_1.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

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

Front

Identify the first term of the sequence: a_1 = 5, d = 3, n = 1.

Back

The first term a_1 is 5.

Tags

CCSS.HSF.BF.A.2

Front

What does a_1 represent in a sequence?

Back

a_1 represents the first term of the sequence.

Tags

CCSS.HSF.BF.A.2

Front

Determine the next two terms of the sequence: 10, 15, 20,...

Back

The next two terms are 25 and 30.

Tags

CCSS.2.NBT.A.2

Front

Which of the following sequences is NOT an arithmetic sequence? 1) 2, 4, 6, 8 2) 3, 6, 9, 12 3) 1, 3, 5, 8 4) 5, 10, 15, 20

Back

The sequence 1, 3, 5, 8 is NOT an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

If a_1 = 10 and d = 2, what is a_5?

Back

a_5 = a_1 + (5-1)d = 10 + 4*2 = 18.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: 7, 10, 13, 16,...?

Back

The common difference d is 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the sum of the first 10 terms of the sequence: 1, 4, 7, 10,...

Back

The sum S_10 = 10/2 * (1 + 28) = 145.