Arithmetic Sequences

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

An arithmetic sequence is an ordered pattern in which a constant amount is ​ (a)   or ​ ​ (b)   to each term to obtain the next term.

• added
• subtracted
• Multiplied
• divided
• guessed

Which is a recursive rule for the nth term in the sequence 15, 8, 1, ...?

Tags

A.FGR.2.2

• 7

• 9

• 11

• 13

Match each variable from the Arithmetic Formula with its definition.

• Nth Term

• a_n

• 1st Term

• a₁

• Common Difference

• n

• Order/Position of Term

• d

Answer explanation

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = 9 + 2(n-1)

• a_n = 2 - 9(n-1)

• a_n = 2 + 7(n-1)

• a_n = 7 + 2(n-1)

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63
• 49, 59, 69
• 39, 49, 59
• 59, 69, 79

Label each underlined part of the explicit formula.

a

b

c

the n th term in the sequence

the common difference between terms

The first term in the sequence

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

Find the common difference: 29, 21, 13, 5, ...

• d = -10
• d = -9
• d = -8
• d = -7