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blsea [12.9K]
3 years ago
12

Total no of whole number of that have less than 1000 and divisble by 7​

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

<em>There are 142 whole numbers less than 1000 and divisible by 7.</em>

Step-by-step explanation:

The multiples of 7 form an arithmetic sequence like shown:

7, 14, 21, ...

The last term of this sequence can be found by dividing 1000/7=142.9 and rounding down to the previous integer: 142*7= 994.

Thus, the sequence has:

a1=7, r=7, an=994. We need to find n and we'll do that by using the general term formula:

a_n=a_1+(n-1).r

And solving for n:

\displaystyle n= \frac{a_n-a_1}{r}+1

\displaystyle n= \frac{994-7}{7}+1

n = 142

There are 142 whole numbers less than 1000 and divisible by 7.

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