Arithmetic Sequences

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Tags

CCSS.HSF.BF.A.2

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

• d = -5
• d = 5
• d = -6
• d = 6

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 25 + 4(n-1)

• a_n = 25 + 21(n-1)

• a_n = 25 - 4(n-1)

• a_n = 13 + 4(n-1)

Tags

CCSS.HSF.BF.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)

Tags

CCSS.HSF.BF.A.2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

Tags

CCSS.HSF.BF.A.2

Find a₂₀ in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

• 145

• 144

• 142

• 138

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ...

Then find the next term.

• a_n = a_n-1 - 2; a₁ = 2; Next term is -2

• a_n = a_n-1 + 2; a₁ = 18; Next term is 8

• a_n = a_n-1 + 2; a₁ = 8; Next term is 18

• a_n = a_n-1 - 2; a₁ = 8; Next term is 18

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
• a_n = a_n-1 - 17
• a_n = a_n-1 - 15
• a_n = a_n-1 - 16

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

Tags

CCSS.HSF.BF.A.2