Froggy Jump: Sequences Quest

Froggy Jumps

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Arithmetic & Geometric race

Créé par

Dennis Bico

Philippines

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Froggy Jumps Froggy Jump: Sequences QuestVersion en ligne Arithmetic & Geometric race par Dennis Bico 1 1. Which sequence type has a constant difference between consecutive terms? a Geometric b Fibonacci c Arithmetic 2 2. What is the common ratio of 4, 12, 36, 108, …? a 3 b 2 c 4 3 3. Which formula gives the nth term of a geometric sequence? a a_n = a_1 · r^n b a_n = a_1 · r^(n-1) c a_n = a_1 + (n-1)d 4 4. What is the arithmetic mean between 12 and 20? a 16 b 14 c 18 5 5. Which sequence has reciprocals forming an arithmetic sequence? a Harmonic b Geometric c Arithmetic 6 6. Which option is a geometric sequence? a 2, 4, 6, 8 b 5, 10, 20, 40 c 1, 3, 5, 7 7 7. For an infinite geometric series, when does it converge to a finite sum? a \|r\| < 1 b r = 1 c r > 1 8 8. Which formula gives the sum to infinity of a geometric series? a S∞ = a1 / (1 − r) b S∞ = a1(1 − r) c S∞ = a1 / (1 + r) 9 9. A sequence starts at 5 and ends at 25 with one mean. Which sequence is correct? a 5, 10, 25 b 5, 20, 25 c 5, 15, 25 10 10. Which statement best defines a mathematical sequence? a A list with no rule b A set of numbers following a logical, repeatable rule. c A random group of numbers

Froggy Jumps

Froggy Jump: Sequences QuestVersion en ligne

Arithmetic & Geometric race

par Dennis Bico

1. Which sequence type has a constant difference between consecutive terms?

Geometric

Fibonacci

Arithmetic

2. What is the common ratio of 4, 12, 36, 108, …?

3. Which formula gives the nth term of a geometric sequence?

a_n = a_1 · r^n

a_n = a_1 · r^(n-1)

a_n = a_1 + (n-1)d

4. What is the arithmetic mean between 12 and 20?

5. Which sequence has reciprocals forming an arithmetic sequence?

Harmonic

Geometric

Arithmetic

6. Which option is a geometric sequence?

2, 4, 6, 8

5, 10, 20, 40

1, 3, 5, 7

7. For an infinite geometric series, when does it converge to a finite sum?

|r| < 1

r = 1

r > 1

8. Which formula gives the sum to infinity of a geometric series?

S∞ = a1 / (1 − r)

S∞ = a1(1 − r)

S∞ = a1 / (1 + r)

9. A sequence starts at 5 and ends at 25 with one mean. Which sequence is correct?

5, 10, 25

5, 20, 25

5, 15, 25

10. Which statement best defines a mathematical sequence?

A list with no rule

A set of numbers following a logical, repeatable rule.

A random group of numbers

Vous pouvez intégrer le jeu dans un LMS compatible avec LTI 1.1 ou LTI 1.3 comme Canvas, Moodle ou Blackboard. Les scores seront ainsi automatiquement enregistrés dans le carnet de notes de la plateforme.

Froggy Jump: Sequences Quest

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Froggy Jump: Sequences QuestVersion en ligne

par Dennis Bico

1. Which sequence type has a constant difference between consecutive terms?

2. What is the common ratio of 4, 12, 36, 108, …?

3. Which formula gives the nth term of a geometric sequence?

4. What is the arithmetic mean between 12 and 20?

5. Which sequence has reciprocals forming an arithmetic sequence?

6. Which option is a geometric sequence?

7. For an infinite geometric series, when does it converge to a finite sum?

8. Which formula gives the sum to infinity of a geometric series?

9. A sequence starts at 5 and ends at 25 with one mean. Which sequence is correct?

10. Which statement best defines a mathematical sequence?

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