Sequences and Series Assessment

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
3, 7, 11, 15, ...

• 6
• 5
• 4
• 2

Tags

CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  t(n) = (125)(5)⁽ⁿ⁾
•  t(n) = 625(1/5)⁽ⁿ⁾
•  t(n) = 625(5)⁽ⁿ⁾
•  t(n) = 125 + 5n

Tags

CCSS.HSF.BF.A.2

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

• 32,756

• 42,560

• 28,765

• 65,535

Tags

CCSS.HSA.SSE.B.4