AP and GP Essentials

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AP vs GP basics

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Sarmistha 1Deb

United States

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Froggy Jumps AP and GP EssentialsOnline version AP vs GP basics by Sarmistha 1Deb 1 What is an arithmetic progression (AP)? a A sequence with a constant ratio between terms b A sequence with increasing square terms only c A sequence where the difference between consecutive terms is constant. 2 What is a geometric progression (GP)? a A sequence with a constant difference between terms b A sequence with terms doubling every other step c A sequence with a constant ratio between consecutive terms. 3 In AP with a1=3 and d=4, what is a5? a 23 b 19 c 15 4 In GP with a1=2 and r=3, what is a4? a 6 b 18 c 54 5 What is the nth term formula for AP? a a_n = d + n b a_n = a1 + (n-1)d c a_n = a1 * r^(n-1) 6 What is the nth term formula for GP? a a_n = a1 * r^(n-1) b a_n = a1 + (n-1)d c a_n = a1 * n 7 Sum of first n terms of AP? a S_n = n(a1 + an)/2 b S_n = n/2 [2a1 + (n-1)d] c S_n = a1 * n 8 Sum of first n terms of GP? a S_n = a1 (1 - r^n)/(1 - r) for r ≠ 1 b S_n = a1 * n c S_n = n(a1 + an)/2 9 Is the sequence 2, 6, 12, 20 an AP? a GP b No c Yes 10 Which condition makes a sequence a GP? a The difference between terms is constant b The ratio of consecutive terms is constant c All terms are equal

Froggy Jumps

AP and GP EssentialsOnline version

AP vs GP basics

by Sarmistha 1Deb

What is an arithmetic progression (AP)?

A sequence with a constant ratio between terms

A sequence with increasing square terms only

A sequence where the difference between consecutive terms is constant.

What is a geometric progression (GP)?

A sequence with a constant difference between terms

A sequence with terms doubling every other step

A sequence with a constant ratio between consecutive terms.

In AP with a1=3 and d=4, what is a5?

In GP with a1=2 and r=3, what is a4?

What is the nth term formula for AP?

a_n = d + n

a_n = a1 + (n-1)d

a_n = a1 * r^(n-1)

What is the nth term formula for GP?

a_n = a1 * r^(n-1)

a_n = a1 + (n-1)d

a_n = a1 * n

Sum of first n terms of AP?

S_n = n(a1 + an)/2

S_n = n/2 [2a1 + (n-1)d]

S_n = a1 * n

Sum of first n terms of GP?

S_n = a1 (1 - r^n)/(1 - r) for r ≠ 1

S_n = a1 * n

S_n = n(a1 + an)/2

Is the sequence 2, 6, 12, 20 an AP?

Yes

Which condition makes a sequence a GP?

The difference between terms is constant

The ratio of consecutive terms is constant

All terms are equal

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AP and GP Essentials

Froggy Jumps

About this activity

Created by

Download the paper version to play

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AP and GP EssentialsOnline version

by Sarmistha 1Deb

What is an arithmetic progression (AP)?

What is a geometric progression (GP)?

In AP with a1=3 and d=4, what is a5?

In GP with a1=2 and r=3, what is a4?

What is the nth term formula for AP?

What is the nth term formula for GP?

Sum of first n terms of AP?

Sum of first n terms of GP?

Is the sequence 2, 6, 12, 20 an AP?

Which condition makes a sequence a GP?