Mathematics: Trudy is starting a comic book collection. let cn represent the number of comic books that trudy has after n weeks. the recursive relationship below represents trudy s comic book collection. c1 = 5 cn + 1 = cn + 2 part a: write an explicit formula for cn . part b: determine the number of comic books in trudy s collection after 10 weeks. explain how you determined your answer.

9.31?Step-by-step explanation:...

Trudy is starting a comic book collection. let

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10.03.2022

(A)

C_n=3+2n

(B)

C_1_0=23

Step-by-step explanation:

(A)

we are given

C_n_+_1=C_n+2

C_1=5

Firstly, we will find few terms

C_2=C_1+2

C_2=5+2

C_2=7

C_3=C_2+2

C_3=7+2

C_3=9

C_4=C_3+2

C_4=9+2

C_4=11

so, we will get terms as

5, 7 , 9 , 11

we can see that this is arithematic sequence

First term =5

common difference =d=7-5=2

now, we can use nth term formula

C_n=C_1+(n-1)d

now, we can plug values

C_n=5+2(n-1)

C_n=5+2n-2

C_n=3+2n

(B)

we can plug n=10

$C_1_0=3+2\times 10$

C_1_0=23

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