Arithmetic Sequences and Recursive Formulas

Arithmetic Sequences and Recursive Formulas

11th Grade

13 Qs

quiz-placeholder

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Arithmetic Sequences and Recursive Formulas

Arithmetic Sequences and Recursive Formulas

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF.BF.A.2, HSF.IF.A.3

Standards-aligned

Created by

Barbara White

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

t0=17

tn+1 = tn + 16

t0=17

tn+1 = tn - 17

t0=17

tn+1 = an-1 - 15

t0=17

tn+1 = tn- 16

Tags

CCSS.HSF.IF.A.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the recursive formula for the following sequence?

6, 4, 2, 0, . . .

tn = -2n + 8

t0 =6, tn +1= tn - 2

t0 = 6, tn+1 = tn + 2

t0 = 6, tn+1 = tn - 2

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the recursive formula for 6, 17, 28, 39, 50....

tn+1=tn+11

t0=6

tn+1=tn-4

t0=6

tn+1=tn+9

t0=6

tn+1=tn+6

t0=6

Tags

CCSS.HSF.IF.A.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the recursive formula, find the first four terms:

tn+1 = tn + 5

t0 = -16

-16, -21, -26, -31

5, -11, -27, -43

-16, -80, -500, -200

-16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the recursive formula for 6, 17, 28, 39, 50....

tn+1=tn+11

t0=6

tn+1=tn-4

t0=6

tn+1=tn+9

t0=6

tn+1=tn+6

t0=6

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the sequence 4, 11, 18, 25, 32...... what is t3 ?

32

11

18

25

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the 25th term of the sequence if t0 = 5 and d = 0.5

18

17

15

14

Tags

CCSS.HSF.BF.A.2

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