Question

How many whole numbers , each divisible by 7, lie between 200 and 500?

Please Answer with full explanation and no Spamming. ​

Answer 1

Answer:

43 whole numbers

Step-by-step explanation:

Smallest number greater than 200 and divisible by 7 = First term of AP = a = 203

Common difference = d = 7 (as each number should be divisible by 7 so all the numbers must be multiples of 7)

Largest number smaller than 500 and divisible by 7 = Last term = $a_{n}$ = 497

We have to find 'n' or the number of terms.

As we know, $a_{n} = a+(n-1)d$

497 = 203 + (n-1)7

497-203 = (n-1)7

294 = (n-1)7

Dividing both sides by 7.

42 = n-1

n = 43

Therefore, 43 whole numbers, each divisible by 7, lie between 200 and 500.

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