Total no of whole number of that have less than 1000 and divisble by 7
1 answer:
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:
And solving for n:
n = 142
There are 142 whole numbers less than 1000 and divisible by 7.
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Answer:
Step-by-step explanation:
A diagonal is defined in geometry as a line connecting to two non adjacent vertices.
Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices
Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;
Total possible diagonals = n × (n - 3)
However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;