Series Sprint

Froggy Jumps

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Arithmetic & geometric series problems

Created by

Ernesto Cabuyadao

Philippines

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Froggy Jumps Series SprintOnline version Arithmetic & geometric series problems by Ernesto Cabuyadao 1 What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...? a 65 b 75 c 60 2 Find the common difference of the arithmetic sequence 7, 13, 19, ... a 6 b 5 c 7 3 What is the 10th term of the arithmetic sequence starting at 4 with difference 3? a 34 b 37 c 31 4 Sum of the first n terms of an AP with a1=6 and d=4 is S_n = n/2(2a1+(n-1)d). What is S_5? a 90 b 70 c 80 5 A geometric sequence has a1=3 and r=2. What is a5? a 48 b 24 c 96 6 What is the sum of the first 6 terms of a geometric series with a1=2 and r=1/2? a 4 b 3.75 c 6 7 Find the sum to infinity of a geometric series with a1=9 and r=1/3. a 13.5 b 12 c 9 8 If the first term of a geometric series is 5 and the sum to infinity exists, what is the condition on r? a r<0 b \|r\|<1 c r>1 9 What is the sum of the infinite geometric series 4 + 2 + 1 + 0.5 + ... ? a 10 b 8 c 6 10 For a finite geometric series with a1=7, r=3, n terms, write the sum formula S_n = ? a S_n = a1+n(d) b S_n = a1(n)/2 c S_n = a1(1-r^n)/(1-r)

Froggy Jumps

Series SprintOnline version

Arithmetic & geometric series problems

by Ernesto Cabuyadao

What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...?

Find the common difference of the arithmetic sequence 7, 13, 19, ...

What is the 10th term of the arithmetic sequence starting at 4 with difference 3?

Sum of the first n terms of an AP with a1=6 and d=4 is S_n = n/2(2a1+(n-1)d). What is S_5?

A geometric sequence has a1=3 and r=2. What is a5?

What is the sum of the first 6 terms of a geometric series with a1=2 and r=1/2?

3.75

Find the sum to infinity of a geometric series with a1=9 and r=1/3.

13.5

If the first term of a geometric series is 5 and the sum to infinity exists, what is the condition on r?

r<0

|r|<1

r>1

What is the sum of the infinite geometric series 4 + 2 + 1 + 0.5 + ... ?

For a finite geometric series with a1=7, r=3, n terms, write the sum formula S_n = ?

S_n = a1+n(d)

S_n = a1(n)/2

S_n = a1(1-r^n)/(1-r)

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Series Sprint

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Series SprintOnline version

by Ernesto Cabuyadao

What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...?

Find the common difference of the arithmetic sequence 7, 13, 19, ...

What is the 10th term of the arithmetic sequence starting at 4 with difference 3?

Sum of the first n terms of an AP with a1=6 and d=4 is S_n = n/2(2a1+(n-1)d). What is S_5?

A geometric sequence has a1=3 and r=2. What is a5?

What is the sum of the first 6 terms of a geometric series with a1=2 and r=1/2?

Find the sum to infinity of a geometric series with a1=9 and r=1/3.

If the first term of a geometric series is 5 and the sum to infinity exists, what is the condition on r?

What is the sum of the infinite geometric series 4 + 2 + 1 + 0.5 + ... ?

For a finite geometric series with a1=7, r=3, n terms, write the sum formula S_n = ?

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