Q. 144.6( 157 Votes )

# Find the sum of the odd numbers between 0 and 50

Answer :

To Find: Sum of odd numbers from 0 and 50

Let us write these numbers

1, 3, 5, ,................, 49

As we can clearly see this forms an AP with first term, a = 1 and common difference, d = 2 and nth term, a_{n} = 49

Now,

first we need to find number of terms,

for that we have the formula of nth terms of an AP given by

a_{n} = a + (n - 1) d

Putting the values we get

49 = 1 + (n - 1) 2

48 = (n - 1) 2

(n - 1) = 24

n = 25

So there are 25 odd numbers between 0 and 50

And sum of these 25 numbers are given by using sum of n terms of an AP

So, the sum of odd numbers between 0 and 50 is 625.

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PREVIOUSFind the sum of the first 15 multiples of 8NEXTA contract on construction job specifies a penalty for delay of completion beyond acertain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for thepreceding day. How much money the contractor has to pay as penalty, if he has delayedthe work by 30 days?

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