Question

find the sum of all odd numbers between 0 and 60​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: Our sum becomes 900.

Step-by-step explanation:

Since we have given that

All odd numbers between 0 and 60.

They are 1,3,.....59.

We need to find the sum of all odd numbers:

Since it forms an arithmetic progression.

Here, a = 1

d = 3-1=2

Now, we will find the number of terms 'n'.

$a_n=a+(n-1)d\\\\59=1+(n-1)2\\\\59-1=2(n-1)\\\\58=2(n-1)\\\\\frac{58}{2}=n-1\\\\29=n-1\\\\n=29+1\\\\n=30$

So, our sum becomes

$S_n=\frac{n}{2}(a+a_n)\\\\S_n=\frac{30}{2}(1+59)\\\\S_n=15\times 60\\\\S_n=900$

Hence, our sum becomes 900.