Question

Answer the question if the answer is correct I will mark u as brainlist conform ​

Answer 1

Step-by-step explanation:

997 divided by 4 leaves remainder 1. So 997 is the final term.

Answer 2

Answer:

Here, in our case LCM of 2,3 and 5 is 30.

So, we can say that, if we write from 1 to 30 and find out the pattern, the same would be repeated across sets of 30 numbers thereafter.

Step 1

Write all numbers from 1 to 30

Step 2

Start with 2, the smallest divisor and cross out the numbers that are divisible. Then move to the next smallest one, in this case 3, circle out the numbers divisible by 3. And then do it for 5, use squares. The sheet would look like this.

Step 3

Now that you need the numbers that are not divisible by either of these factors, let’s list them out.

Step 4

Finding the answer

1000 = 30 * 33 + 10

So, the numbers not divisible by 2,3 or 5 would be 8 * 33 + 2 = 264 + 2 = 266

Note:

This method can also be used to find the number of numbers between ranges that are divisible by specific factors. We need to start the count from the smallest number in the range and then list down a series of consecutive numbers (total count = LCM of factors)

This method can also be used to find the number of numbers divisible by 2,3 and 5. In that case, instead of listing down the left ones, list down the crossed / highlighted ones.

This method works faster when you have to do it on a small subset and extend the results. If the LCM is more than 100 or the factors are large numbers, Venn diagram method would be the way to go ahead