Question

Hi,can somone explain the algorithm and prove that b = 6?

Thank you.

What is printed by the pseuodode algorithm shown below when x = 5?

a = 1
b = 0

repeat until a equals x
  b = b + a
  a = a + 1

print b

what is the value of b?

Answer 1

Question:

a = 1
b = 0

repeat until a equals x
  b = b + a
  a = a + 1

print b

ANS:

This algorithm is adding 1 to variable a after each step until a==x, While b is being incremented by b+a so finally the value of b after the loop ends are b=10. You can look below each step

x=5

STEP 1:

b=1+0=1

a=1+1=2

STEP2:

b=1+2=3

a=2+1=3

STEP3:

b=3+3=6

a=3+1=4

STEP4:

b=6+4=10

a=4+1=5

Now as a==x which is 5 so loop will exit and it will print b=10

(Proving when b will be equal to 6:

in Step 3

b=6 When a=4)

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