Sequences, Series, Binomial Expansions

Express as a sum.

• 4+16+36+64

• 4+13+28+49

• 10+37+82+145

• 4+26+84+196

Tags

CCSS.HSF.BF.A.2

The 3rd term in row 6 of Pascal's Triangle is

• 15

• 20

• 24

• 50

Tags

CCSS.HSA.APR.C.5

• 149
• 11,200
• 5,600
• 140

Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.

• a_n= 6(-4)^n-1

• a_n= 6×-4^n-1

• a_n= 6(-4)ⁿ

• a_n= -6(4)^n-1

Tags

CCSS.HSF.BF.A.2

Find the first 5 terms of this sequence.

• 
• 
• 
• 

Tags

CCSS.HSF.BF.A.2

Express using sigma notation.

• 
• 
• 
• 

Tags

CCSS.HSF.BF.A.2

Find the 6th term of this sequence.

• 469

• 97

• 23

• 217

Tags

CCSS.HSF.IF.A.3

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

Which of the following is true of a binomial expansion which contains an x³y⁷ term?

• 
• The binomial coefficient is the 3rd term in the 7th row of Pascal's Triangle.

• The binomial is raised to the 10th power.

• The expansion also contains an x⁴y⁵ term.

Tags

CCSS.HSA.APR.C.5

In the sequence 2,5,8,11,14,...

the 60th term of the sequence is

• 177

• 179

• 181

• 183

Tags

CCSS.HSF.BF.A.2