Find the sum of the first 10 values of the sequence below.

1
2
3
4
5
6
7
8
9

#Sequence A
a=0
b=1
i=0
while i <= #Write a number here:
    i = i + 1
    b=a+b
    a=b-a
print (b)

Bonus1: What is the name of the sequence?

Bonus2: Can you find a sequence that the first 10 numbers of it has sum $S+42$ ? ( $S$ is the sum of the first 10 values of Sequence A)

Bonus3: Can you find a sequence that the first 10th value of the sequence equals with the sum of the previous 9 values?

Bonus4: Find n,κ $b_8-a_8 =a_n+b_κ$ ( $b_8,a_8,b_κ,a_n$ is the 8th value of a,b and the nth value of a and κth value of b respectively)