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Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

DSA - Grand Test -Q22


Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
+1 vote

Consider the following code fragment.

y = 0;

for ( i = 0; i <= n; i++)

{

  y += 2^i;

}

Which one of the following conditions is TRUE before every iteration of the loop (where i is the iteration number and ^ is an exponentiation operator)?

(A) y_i = 2i - 1

(B) y_i = 2^i - 1

(C) y_i = 2^{i-1}-1

(D) y_i = 2^{i+1}-1

asked Aug 29, 2020 by gbeditor-2 (72,840 points)
reshown Sep 10, 2020 by gbeditor-2

1 Answer

0 votes

When loop runs 3 times,

y = 1 +2 + 4 =7

 

i.e. 2^{3}-1

Hence 

when loop runs n times (\leqslant n)

THen 

 2^{n}-1

 

And for every iteration of the loop

It is

2^{i}-1

 

answered Sep 26, 2020 by tsshashankrustagi (11,240 points)
Answer:

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
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