Sequences Quest: Arithmetic vs Geometric

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Arithmetic & geometric sequences basics

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Jan Jan

Philippines

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Sequences Quest: Arithmetic vs Geometric


Sequences Quest: Arithmetic vs GeometricVersion en ligne Arithmetic & geometric sequences basics par Jan Jan 1 What is the common difference of the arithmetic sequence 7, 12, 17, 22? a 7 b 5 c -5 d 3 2 Is the sequence 3, 9, 27, 81 arithmetic or geometric, and what is the ratio? a Geometric; ratio 3 b Arithmetic; difference 9 c Geometric; ratio 9 d Arithmetic; difference 3 3 Find the 5th term of the arithmetic sequence with a1=4 and d=3. a 13 b 22 c 16 d 19 4 Find the 4th term of the geometric sequence with a1=2 and r=-2. a -8 b 8 c -4 d -16 5 If a1=6 and d=-2, what is a3? a 4 b -2 c 2 d 8 6 What type of sequence has a constant ratio between consecutive terms? a Geometric b Harmonic c Arithmetic d Fibonacci 7 What is the 3rd term of the arithmetic sequence with a1=5 and d=4? a 21 b 17 c 9 d 13 8 What is the general term formula for an arithmetic sequence? a a_n = a1 + d^n b a_n = a1 r^(n-1) c a_n = a1 + n d d a_n = a1 + (n-1)d 9 What is the general term formula for a geometric sequence? a a_n = a1 d^(n) b a_n = a1 + (n-1)d c a_n = a1 r^(n-1) d a_n = a1 r^n 10 If a1=3 and r=1/2, what is a2? a 3 b 1.5 c 0.75 d 4.5 Feedback 1 Correct: each term increases by 5. 2 The ratio between terms is 3, so geometric. 3 a5 = 4 + (5-1)3 = 16. 4 Terms: 2, -4, 8, -16; fourth term is -16. 5 a3 = 6 + 2(-2) = 2. 6 A constant ratio defines a geometric sequence. 7 a3 = 5 + 24 = 13. 8 Arithmetic: a_n = a1 + (n-1)d. 9 Geometric: a_n = a1 r^(n-1). 10 a2 = a1 r = 3 × 0.5 = 1.5.

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Sequences Quest: Arithmetic vs Geometric

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À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Sequences Quest: Arithmetic vs GeometricVersion en ligne

par Jan Jan

What is the common difference of the arithmetic sequence 7, 12, 17, 22?

Is the sequence 3, 9, 27, 81 arithmetic or geometric, and what is the ratio?

Find the 5th term of the arithmetic sequence with a1=4 and d=3.

Find the 4th term of the geometric sequence with a1=2 and r=-2.

If a1=6 and d=-2, what is a3?

What type of sequence has a constant ratio between consecutive terms?

What is the 3rd term of the arithmetic sequence with a1=5 and d=4?

What is the general term formula for an arithmetic sequence?

What is the general term formula for a geometric sequence?

If a1=3 and r=1/2, what is a2?

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