Common Core Standard HSF-IF.A.3 Questions

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Grade 10 Sequences and Series CCSS: HSF-IF.A.3

Given the arithmetic sequence defined by the function

$f(n) = -4 + 3n$ , what is the 10th term in this sequence?

-4
30
26
Not enough information.

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the solution set of the equation y = x^2 + 2x - 3?

x = -3, x = -2
x = -2, x = 1
x = -1, x = 3
x = 2, x = -3

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the equation of the line that is parallel to the line y = -3x + 4 and passes through the point (2, 0)?

y = -3x + 2
y = -3x + 6
y = 3x + 4
y = 3x + 2

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the range of the function

$f(x) = 1/x?$

All real numbers except 0
All positive real numbers
All negative real numbers
All real numbers

Grade 9 Sequences and Series CCSS: HSF-IF.A.3

Find the next three terms for the sequence.

$14,34,54,74,94,...$

114, 134, 154
188, 208, 228
104, 124, 144
84, 104, 124

Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2

Given a term in an arithmetic sequence and the common difference, find the first three terms and the explicit formula.

$a_40=-1191$

$d=-30$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3

A given arithmetic sequence is described by the function

$f(1) = -8; \ \ f(n) = f(n-1) + 4, n>=2$ . Does the function

$f(1) = -8; f(n) = f(n-2) + 8, n>=3$ describe the same sequence? If not, why?

Yes, these are the same sequences.
No, the second sequence doesn't define its second term, and therefore isn't complete.
No, they have different recursive relationships.
No, they have different domains.

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the equation of the line that is perpendicular to the line y = -2x + 3 and passes through the point (2,5)?

y = -1/2x + 5
y = 2x + 5
y = -2x + 7
y = 2x - 1

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the equation of the circle with center at (2, -3) and passing through the point (4, 1)?

$(x - 2)^2 + (y + 3)^2 = 25$
$(x - 2)^2 + (y + 3)^2 = 9$
$(x - 2)^2 + (y + 3)^2 = 36$
$(x - 2)^2 + (y + 3)^2 = 16$

Grade 11 Functions and Relations CCSS: HSF-IF.A.3

What is the equation of a horizontal line?

y = mx + b
x = k
y = k
x = mx + b

Grade 10 Sequences and Series CCSS: HSF-IF.A.3

What are the next 2 numbers in the sequence

$1, 5, 9...$ ?

$45,225$
$14,18$
$13,17$
$32,128$

Grade 10 Functions and Relations CCSS: HSF-IF.A.3

The third, fourth, and fifth numbers in a sequence are

$16, 22, 28$ . Which function describes the sequence?

$f(n)=6n+16$
$f(n)=6n-2$
$f(x)=3x+12$
$f(x)=12x+6$

Grade 10 Functions and Relations CCSS: HSF-IF.A.3

Which function describes the sequence

$3, 7, 11...$ ?

$f(n)=4n-1$
$f(n)=3+2n$
$f(x)=2n-3$
$f(n)=4x-1$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2

What is the recursive function of the geometric sequence 3, 4.5, 6.75...?

$f(n)=1.5f(n-1)$ where $f(1)=3$
$f(n)=3xx1.5^(n-1)$
$f(n)=1.5xx3^(n-1)$
$f(n)=3f(n-1)$ where $f(1)=1.5$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3

What are the fifth and seventh numbers in the sequence

$1, 6, 36...$ ?

$216,7776$
$216,1296$
$7776,46656$
$1296,46656$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2

What is the explicit function of the geometric sequence 3, 4.5, 6.75, ...?

$f(n)=1.5f(n-1)$ where $f(1)=3$
$f(n)=3*1.5^(n-1)$
$f(n)=1.5*3^(n-1)$
$f(n)=3f(n-1)$ where $f(1)=1.5$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3

What is the 61st number in the sequence

$-3, 0, 3...$ ?

$366$
$363$
$177$
$183$

Grade 10 Sequences and Series CCSS: HSF-IF.A.3

Find the 100th term in the sequence: -3, -5, -7, -9, ...

195
-201
201
-195

Grade 11 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2

What is

$t_n$ for the sequence 14/3, 16/3, 6, 20/3, 22/3, ...?

$t_n = 2/3n+ 11/3$
$t_n= 2/3n + 4$
$t_n = 2/3n+ 12/3$
$t_n= 2/3n + 6$

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Common Core Standard HSF-IF.A.3 Questions

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