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ch4aika [34]
3 years ago
12

How many numbers between 1-100 are equal to five times an odd number?​

Chemistry
1 answer:
VashaNatasha [74]3 years ago
4 0

<u>Answer:</u>

<em>There are 10 numbers between 1-100 which are equal to 5 times an odd number.</em>

<u>Explanation:</u>

<em>The odd numbers between 1 and 100 are 1,3,5,7….. </em>

When these when these odd numbers are multiplied by 5 we get the following result.

5 \times 1=5

5 \times 3=15

5 \times 19=95

<em>These products form an AP 5,15,25,…..,95 </em>

common difference d=10

first term a=5  

last term a_n=95  

we have to calculate the number of terms n

The expression for last term a_n of an AP is  

<em>a_n=a+(n-1)d</em>

<em>a_n=a+nd-d</em>

<em>nd=a_n-a+d =95-5+10=100 </em>

<em>n= \frac{100}{d}= \frac{100}{10}=10</em>

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