Geometric Sequences & Series

Froggy Jumps

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Geometric challenge

Created by

Michael Raymond Dela Pena

Philippines

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Froggy Jumps Geometric Sequences & SeriesOnline version Geometric challenge by Michael Raymond Dela Pena 1 If the first term a1=5 and ratio r=3, what is a4 in this geometric sequence? a 135 b 45 c 405 2 Given a1=2, r=1/2, find the 6th term a6. a 0.5 b 0.125 c 0.0625 3 Sum of first 5 terms with a1=4, r=2: S5 = ? a 96 b 124 c 156 4 If a1=7 and r=0.6, the infinite sum (to infinity) is? a 10.5 b 17.5 c 31 5 Sequence 3,6,12,24,... has a1=3, r=2. What is S4? a 45 b 60 c 39 6 If a1=5 and a4=125, find r (to 2 decimals). a -2.92 b 2.92 c 5.00 7 With a1=3, r=-1/2, n=6, S6 equals? a 0.75 b 63/32 c 1.5 8 For a1=1, r=-3, what is a3? a 3 b -9 c 9 9 For a1=8, r=-0.9, the infinite sum is approximately? a 8.00 b 4.80 c 4.21 10 With a1=5, r=0.5, do the terms increase or decrease? a Decreasing b Increasing c Constant

Froggy Jumps

Geometric Sequences & SeriesOnline version

Geometric challenge

by Michael Raymond Dela Pena

If the first term a1=5 and ratio r=3, what is a4 in this geometric sequence?

135

405

Given a1=2, r=1/2, find the 6th term a6.

0.5

0.125

0.0625

Sum of first 5 terms with a1=4, r=2: S5 = ?

124

156

If a1=7 and r=0.6, the infinite sum (to infinity) is?

10.5

17.5

Sequence 3,6,12,24,... has a1=3, r=2. What is S4?

If a1=5 and a4=125, find r (to 2 decimals).

-2.92

2.92

5.00

With a1=3, r=-1/2, n=6, S6 equals?

0.75

63/32

1.5

For a1=1, r=-3, what is a3?

-9

For a1=8, r=-0.9, the infinite sum is approximately?

8.00

4.80

4.21

With a1=5, r=0.5, do the terms increase or decrease?

Decreasing

Increasing

Constant

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Geometric Sequences & Series

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Geometric Sequences & SeriesOnline version

by Michael Raymond Dela Pena

If the first term a1=5 and ratio r=3, what is a4 in this geometric sequence?

Given a1=2, r=1/2, find the 6th term a6.

Sum of first 5 terms with a1=4, r=2: S5 = ?

If a1=7 and r=0.6, the infinite sum (to infinity) is?

Sequence 3,6,12,24,... has a1=3, r=2. What is S4?

If a1=5 and a4=125, find r (to 2 decimals).

With a1=3, r=-1/2, n=6, S6 equals?

For a1=1, r=-3, what is a3?

For a1=8, r=-0.9, the infinite sum is approximately?

With a1=5, r=0.5, do the terms increase or decrease?

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