Write the geometric sequence 10, –30, 90, –270, ... as a recurrence relation.

t n+1 = –3t n , where t 1 = 10

t n+1 = t n – 3, where t 1 = 10

t n+1 = t n + 10, where t 1 = 10

t n+1 = –3t n – 3, where t 1 = 10

t n+1 = –3t n + 10, where t 1 = 10

The 5th term in a geometric sequence is 2500 and the common ratio is 5. Write the recurrence relation that describes this sequence.

t n+1 = 5t n + 5, where t 1 = 4

t n+1 = 5t n + 4, where t 1 = 5

A recurrence relation generates the arithmetic sequence shown on the graph below. Find the recurrence relation that generates this set of points.

t n+1 = t n + 3, where t 1 = –2

t n+1 = 3t n , where t 1 = –2

t n+1 = t n – 3, where t 1 = –2

t n+1 = 2t n + 5, where t 1 = –2

t n+1 = 3t n – 3, where t 1 = –2

Graph the sufficient terms of the sequence t n +1 = 1.5 t n – 4 where t 1 = –1.5. Is it...

a long-term decreasing solution

a long-term increasing solution

Recurrence Relations

Authored by Glenn Currie

Mathematics

9th - 12th Grade

Used 38+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write down the first four terms of the sequence if a₁ = 1 and a_n+1 = 2a_n + 4.

0, 4, 12, 28

1, 4, 10, 18

1, 4, 12, 28

1, 6, 16, 36

6, 16, 34, 72

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the recurrence relation
t_n+1 = 2t_n + 3 and t₃ = 25,
find t₆.

109

206

221

315

445

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the recurrence relation
t_n+1 = 3t_n + 5 and t₄ = 200,
find the first term.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the recurrence relation that generates the sequence
11, 7, 3, –1, ...

t_n+1 = t_n + 4, where t₁ = 11

t_n+1 = t_n – 4, where t₁ = 11

t_n+1 = –4t_n, where t₁= 11

t_n+1 = 2t_n + 2, where t₁ = 11

t_n+1 = 2t_n – 15, where t1 = 11

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A recurrence relation generates the arithmetic sequence
5, 9, 13, 17, ...
Find a rule for the nth term of the sequence.

t_n = n + 4

t_n = 4n – 3

t_n = 4n + 1

t_n = 4n + 5

t_n = 5n + 4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the 8th term of an arithmetic progression is –29, and the first term is 6, find the recurrence relation that describes the sequence.

t_n+1 = –5t_n, where t₁ = 6

t_n+1 = t_n + 5, where t₁ = 6

t_n+1 = t_n + 13, where t₁ = 6

t_n+1 = t_n – 5, where t₁ = 6

t_n+1 = 7t_n – 11, where t₁ = 6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the 6thterm of an arithmetic progression is 22,
and the 13th term is 50,
find the recurrence relation that describes the sequence.

t_n+1 = 4t_n, where t₁ = 2

t_n+1 = t_n + 4, where t₁ = 2

t_n+1 = t_n + 5, where t₁ = 2

t_n+1 = t_n – 4, where t₁= 2

t_n+1 = 3t_n + 2, where t₁ = 2

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Recurrence Relations

Write down the first four terms of the sequence if a1 = 1 and an+1 = 2an + 4.

Given the recurrence relation tn+1 = 2tn + 3 and t3 = 25,find t6.

Given the recurrence relation tn+1 = 3tn + 5 and t4 = 200, find the first term.

Find the recurrence relation that generates the sequence 11, 7, 3, –1, ...

A recurrence relation generates the arithmetic sequence 5, 9, 13, 17, ... Find a rule for the nth term of the sequence.

If the 8th term of an arithmetic progression is –29, and the first term is 6, find the recurrence relation that describes the sequence.

If the 6th term of an arithmetic progression is 22, and the 13th term is 50, find the recurrence relation that describes the sequence.

Write the geometric sequence 10, –30, 90, –270, ... as a recurrence relation.

The 5th term in a geometric sequence is 2500 and the common ratio is 5. Write the recurrence relation that describes this sequence.

A recurrence relation generates the arithmetic sequence shown on the graph below. Find the recurrence relation that generates this set of points.

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for Mathematics

Write down the first four terms of the sequence if a₁ = 1 and a_n+1 = 2a_n + 4.

Given the recurrence relation
t_n+1 = 2t_n + 3 and t₃ = 25,
find t₆.

Given the recurrence relation
t_n+1 = 3t_n + 5 and t₄ = 200,
find the first term.

Find the recurrence relation that generates the sequence
11, 7, 3, –1, ...

A recurrence relation generates the arithmetic sequence
5, 9, 13, 17, ...
Find a rule for the nth term of the sequence.

If the 6thterm of an arithmetic progression is 22,
and the 13th term is 50,
find the recurrence relation that describes the sequence.

Write the geometric sequence
10, –30, 90, –270, ...
as a recurrence relation.

The 5th term in a geometric sequence is 2500 and the common ratio is 5.
Write the recurrence relation that describes this sequence.

A recurrence relation generates the arithmetic sequence shown on the graph below.
Find the recurrence relation that generates this set of points.