125k views
3 votes
Formula to find the number of consecutive multiples of a given number within an inclusive range...

A) (b - a)/k + 1
B) (b - a)/k
C) (b + a)/k
D) (b - a)k

User SNA
by
7.7k points

1 Answer

3 votes

Final answer:

The number of consecutive multiples of a given number within an inclusive range is calculated using formula A) (b - a)/k + 1. This takes into account the start and end of the range and the specific multiple in question.

Step-by-step explanation:

To find the number of consecutive multiples of a given number within an inclusive range, we use the formula: (b - a)/k + 1, where a is the starting point of the range, b is the ending point of the range, and k is the specific multiple we are counting within the range. This formula counts how many times the number k fits into the range from a to b inclusively.

For example: Suppose we want to count how many multiples of 3 there are between 5 and 20. We subtract 5 from 20 to get 15, divide 15 by 3 to get 5, and then add 1 to get a total of 6 multiples of 3 within the range [5, 20]. The correct choice from the options given is A) (b - a)/k + 1.

User Dhiru
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories