Math  /  Numbers & Operations

QuestionConsider the following iteration statement: ``` int own = 1; int lcv = 10; while ( lcv >= 0) { own+=2; lcv--; ``` }
What is the value of own after the for loop terminates? own=23o w n=23 own =11 own=21o w n=21

Studdy Solution

STEP 1

What is this asking? How many times does a counter increase inside a loop, and what's its final value? Watch out! Don't forget to account for the initial value of the counter *outside* the loop!

STEP 2

1. Analyze the loop
2. Calculate the final value

STEP 3

Alright, so we have this loop that's gonna run as long as `lcv` is greater than or equal to zero. `lcv` starts at **10** and goes down by **1** each time.
That's like a countdown, right?

STEP 4

How many times will the loop run?
Well, it starts at **10** and goes down to **0**, hitting every number in between.
That's **11** times total! 10,9,8,7,6,5,4,3,2,1,010, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.

STEP 5

Inside the loop, `own` increases by **2** each time.
So, the loop runs **11** times, and `own` gets a boost of **2** each time.

STEP 6

`own` starts at **1** *before* the loop even begins.
This is super important!

STEP 7

The loop runs **11** times, and `own` increases by **2** each time.
That means the total increase from the loop is 112=2211 \cdot 2 = 22.

STEP 8

So, we start with **1** and add **22** from the loop.
The final value is 1+22=231 + 22 = 23.
Boom!

STEP 9

The final value of `own` is **23**.

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