Share/Like This Page
Browse Questions

Common Core Standard HSF-BF.A.2 Questions

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.★

You can create printable tests and worksheets from these questions on Common Core standard HSF-BF.A.2! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 1 of 6 Next
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Given the explicit form of the arithmetic sequence [math]a_n = -2 + 7n[/math], which of the following is the recursive formula for the same sequence?
  1. [math]a_1 = 5; \ \ a_n = a_{n-1} + 7, \ n>1[/math]
  2. [math]a_1 = 5; \ \ a_n = a_{n-1} - 2, \ n>1[/math]
  3. [math]a_1 = -2; \ \ a_n = a_{n-1} +7, \ n>1[/math]
  4. [math]a_1 = -2; \ \ a_n = a_{n-1} - 2, n>1[/math]
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the sequence defined by [math]a_1 = 2; \ \ a_n = 5 a_{n-1}, \ n>1 ?[/math]
  1. [math]a_n = 2*5^n[/math]
  2. [math]a_n = 2*5^(n+1)[/math]
  3. [math]a_n = (2/5)*5^n[/math]
  4. [math]a_n = (2/5)*5^(n-1)[/math]
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the sequence [math]a_n = 16-20n ?[/math]
  1. [math]a_1 = -20; \ \ a_n = a_{n-1} + 16, \ n>1[/math]
  2. [math]a_1 = 16; \ \ a_n = a_{n-1} - 20, \ n>1[/math]
  3. [math]a_1 = -4; \ \ a_n = a_{n-1} + 16, \ n>1[/math]
  4. [math]a_1 = -4; \ \ a_n = a_{n-1} - 20, \ n>1[/math]
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
Given the recursive form of the sequence [math]a_1 = 2/7; \ \ a_n = 3a_{n-1}, \ n>1[/math], find the correct explicit form of this sequence.
  1. [math]a_n = 2/21 * 3^n[/math]
  2. [math]a_n = 2/7 * 3^n[/math]
  3. [math]a_n = 2/7 * 3n[/math]
  4. [math]a_n = (6/7)^{n-1}[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.2
For the sequence defined by the explicit formula [math]a_n=6⋅2^(n-1)[/math], what is the recursive formula?
  1. [math]a_1=6; a_n=2⋅a_(n-1[/math]
  2. [math]a_1=2; a_n=6⋅a_(n-1[/math]
  3. [math]a_1=6; a_n=6⋅a_(n-1[/math]
  4. [math]a_1=6 a_n=6⋅a_(n-1[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.2
Given the geometric sequence: 3, 6, 12, 24, … what is the recursive formula?
  1. [math]a_1=3; a_n=2⋅a_(n-1[/math]
  2. [math]a_1=6; a_n=3⋅a_(n-1[/math]
  3. [math]a_1=2; a_n=3⋅a_(n-1[/math]
  4. [math]a_1=3; a_n=3⋅a_(n-1[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.2
For the sequence defined by the explicit formula [math]a_n = 4n[/math], how could the same sequence be written recursively? (Select all that apply.)
  1. [math]a_1 = 4; a_n = a_(n−1) + 4 n >1 [/math]
  2. [math]a_1 = 0; a_n = a_(n−1) + 4 n >1 [/math]
  3. [math]a_1 = 4; a_2 =8; a_n = a_(n−1) + 4 n >1 [/math]
  4. [math]a_1 = 8; a_n = a_(n−1) + 4 n >1 [/math]
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
For the sequence defined by the explicit formula [math]a_n = 7 + 3n[/math], what is the the recursive formula for this sequence?
  1. [math]a_1 = 7; \ \ a_n = a_{n-1} + 3, \ n>1[/math]
  2. [math]a_1 = 10; \ \ a_n = a_{n-1} + 3, \ n>1[/math]
  3. [math]a_1 = 3; \ \ a_n = a_{n-1} + 7, \ n>1[/math]
  4. [math]a_1 = 1; \ \ a_n = a_{n-1} + 7, \ n>1[/math]
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the explicit form of the sequence defined by [math]a_1 = 1/2; \ \ a_n = 1/2 a_{n-1}, \ n>1 ?[/math]
  1. [math]a_n = (1/2)^{n-1}[/math]
  2. [math]a_n = (1/2)*(1/2)^(-n)[/math]
  3. [math]a_n = (1/2)^n[/math]
  4. [math]a_n = 1/2 * (1/2)^n[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.2
An arithmetic sequence has [math]a_3=10[/math] and [math]a_5=16[/math]. What is the explicit formula?
  1. [math]a_n=4+3n[/math]
  2. [math]a_n=2+4_n[/math]
  3. [math]a_n=4+2n[/math]
  4. [math]a_n=2+3n[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.2
If a geometric sequence has the recursive formula [math]a_1=5[/math]; [math]a_n=a_(n-1)⋅3[/math], what is the explicit formula?
  1. [math]a_n=5⋅3^(n-1 [/math]
  2. [math]a_n=3⋅5^(n-1 [/math]
  3. [math]a_n=5+3(n-1) [/math]
  4. [math]a_n=3+5(n-1 )[/math]
Previous Page 1 of 6 Next

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options

You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.