Question

The sum of odd numbers from 60 to 120 is?

Answer 1

Answer:

the answer of question is 2500

Answer 2

The sum of odd numbers from 60 to 120 is 2700.

Step-by-step explanation:

To find : The sum of odd numbers from 60 to 120 is?

Solution :

The odd numbers from 60 to 120 are 61,63,65,67,....119.

The series form an Arithmetic progression

Where, the first term is a=61

The common difference is d=2

The last term is l=119

Applying last term formula,

$l=a+(n-1)d$

$119=61+(n-1)2$

$58=2n-2$

$2n=60$

$n=\frac{60}{2}$

$n=30$

The sum of n terms of A.P is

$S_n=\frac{n}{2}[a+l]$

$S_n=\frac{30}{2}[61+119]$

$S_n=15[180]$

$S_n=2700$

Therefore, the sum of odd numbers from 60 to 120 is 2700.

#Learn more

If the nth term of an A.P is 2n + 1 find the sum of the first 3 terms of the A.P

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