201k views
0 votes
For the sequence an = an-1 + an-2 and ai = 2, a2 = 3,

its first term is
its second term is
its third term is
its fourth term is
its fifth term is

User Brian Rose
by
7.7k points

1 Answer

7 votes

Answer:


a_1 = 2


a_2 = 3


a_3 = 5


a_4 = 8


a_5 = 13

Explanation:

Given


a_n = a_(n-1) + a_(n-2)


a_1 = 2


a_2 = 3

Solving (a): The first term

This has already been given as:


a_1 = 2

Solving (b): The second term

This has already been given as:


a_2 = 3

Solving (c): The third term

This is calculated as:


a_n = a_(n-1) + a_(n-2)


a_3 = a_(3-1) +a_(3-2)


a_3 = a_2 +a_1


a_3 = 3 +2


a_3 = 5

Solving (d): The fourth term

This is calculated as:


a_n = a_(n-1) + a_(n-2)


a_4 = a_(4-1) +a_(4-2)


a_4 = a_3 +a_2


a_4 = 5+3


a_4 = 8

Solving (e): The fifth term

This is calculated as:


a_n = a_(n-1) + a_(n-2)


a_5 = a_(5-1) +a_(5-2)


a_5 = a_4 +a_3


a_5 = 8+5


a_5 = 13

User Yibe
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories