Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A sequence is defined by the term-to-term rule
U = + 2
Given that u, = -3,
a) find u,
b) find uz

A Sequence Is Defined By The Termtoterm Rule U 2 Given That U 3 A Find U B Find Uz class=

Sagot :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

a)

A sequence is defined by the term-to-term rule such as

[tex]U_{n+1}=U^3_n+2[/tex]

Given that

[tex]U_0=-3[/tex]

Substituting n = 0 to determine u₁

[tex]U_{0+1}=U^3_0+2[/tex]

[tex]U_1=U^3_0+2[/tex]

substituting [tex]U_0=-3[/tex]

[tex]U_1=\left(-3\right)^3+2[/tex]

[tex]U_1=-27+2[/tex]

[tex]U_1=-25[/tex]

Therefore,

  • [tex]U_1=-25[/tex]

b)

[tex]U_{n+1}=U^3_n+2[/tex]

Substituting n = 1 to determine u₂

[tex]\:U_{1+1}=U^3_1+2[/tex]

substituting [tex]U_1=-25[/tex]

[tex]U_2=\left(-25\right)^3+2[/tex]

[tex]U_2=-15625+2[/tex]

[tex]U_2=-15623[/tex]

Therefore,

[tex]U_2=-15623[/tex]

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.