Pre-Calculus Sequences and Series

Find the common difference:  a₂ = 6 and a₆ = -14

• -1
• -5
• -2
• 2

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

• 84
• 64
• 4
• 8

Write the nth term formula:  5 + 11 + 17 + 23 + … + 35

• t(n) = 5 + 6(n – 1) 
• t(n) = 5(6)^n-1
• t(n) = 5 + 6n 
• t(n) = -1 + 6(n - 1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Write the nth term formula:  3.5 + 7 + 14 + 28 + 56

• a_n = 3.5(0.5)^n-1
• a_n = 3.5 + 2(n - 1)
• a_n = 3.5 + 3.5(n - 1)
• a_n = 3.5(2)^n-1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the sum:  3 + 8 + 13 + 18 + … + 98 

• 1010
• 140
• 959.5
• 909

Find the sum:  11 + 12 + 13 + ... + 40

• 791
• 765
• 76
• 739.5

Find the sum:  90 + 84 + 78 + ... + 24

• 276
• 627
• 684
• 741

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the sum:  3 + 3.3 + 3.6 + 3.9 + 4.2 + ... + 63

• 6633
• 6600
• 6666

Find the sum:  800 + 200 + 50 + 12.5 + … + (²⁵/₂₀₄₈)

• 1062.51
• -3200.99
• -2103.67
• 1066.66

Find the sum:  2 + 6 + 18 + 54 + ….for the first 14 terms

• 4,782,968
• 1,594,323
• 2,391,484

Tags

CCSS.HSA.SSE.B.4