Sequences and Series

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

• 18
• 17
• 15
• 14

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

• -160

• -328

• -320

• -336

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the sum.

24+48+72+...+480

*Hint: Find out what term number 480 is first. Then find the sum.*

• 5280

• 9576

• 10080

• 5040

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.3

Evaluate the series.

• 36
• 85
• 35
• 86

Find the common ratio (multiplier):  a₁ = 4 and a₄ = 256

• 84
• 64
• 4
• 8

In a geometric sequence a₁ = 12 and r = √2.  What is the approximate sum of the first 20 terms of the sequence?

• 339.4
• 8688.9
• 29624.9
• 29636.9

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

Which statement is true about the series shown below?
-4 + -2 + -1 + ½ + -¼+ ...

• The series converges because ∣r∣ < 1
• The series diverges because ∣r∣ < 1
• The series converges because ∣r∣ > 1
• The series diverges because ∣r∣ > 1

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

Determine the number of terms, n , for the given finite geometric sequence.

• 6

• 5

• 4

• 3

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the sum of the series $\sum_{n=1}^42\left(2\right)^n$  

• 58

• 60

• 62

• 124