Calculs

Section 1

Calculus Course

Limits and Continuity

Section 2

Calculus Course

Applications of Derivatives

Integration Techniques

Multivariable Calculus

Section 3

Calculus Course

Sequences and Series

Differential Equations

Vector Calculus

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Unit 3 • Chapter 1

Sequences and Series

Summary

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Concept Check

What is the general formula for an arithmetic sequence?

An= an - d

An= a + d

An= a + (n-1)d

An= a + nd

What is the sum of the first 10 terms of an arithmetic series with first term a=2 and common difference d=3?

S10= 5(2+28)= 150

S10= 5(2+30)= 160

S10= 5(3+29)= 160

S10= 5(2+29)= 155

What is the formula for the nth term of a geometric sequence?

An= ar^n

An= ar^(n+1)

An= ar^(n-1)

An= ar^(n-2)

Find the sum of the first 5 terms of a geometric series with first term a=3 and common ratio r=2.

S5= 3(2^5-1)= 93

S5= 3(2^4-1)= 39

S5= 3(2^6-1)= 189

S5= 3(2^3-1)= 21

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

Sum= 4/(1-1/2)= 8

Sum= 4/(1-2)= -4

Sum= 4/(1+1/2)= 6

Sum= 4/(1-1)= 4

NextDifferential Equations