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The sum of all odd numbers between 200 and 300 is
- a)11600
- b)12490
- c)12500
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The sum of all odd numbers between 200 and 300 isa)11600b)12490c)12500...
Solution:
To find the sum of all odd numbers between 200 and 300, we need to follow these steps:
Step 1: List the odd numbers between 200 and 300.
The odd numbers between 200 and 300 are:
201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299.
Step 2: Add the odd numbers.
Now we need to add all the odd numbers between 200 and 300. We can do this by using the formula:
Sum = (n/2) x (first term + last term)
where n is the number of terms, first term is the first odd number, and last term is the last odd number.
In this case, n = 51 (since there are 51 odd numbers between 200 and 300), first term = 201, and last term = 299.
Substituting these values into the formula, we get:
Sum = (51/2) x (201 + 299)
= 25.5 x 500
= 12,750
Therefore, the sum of all odd numbers between 200 and 300 is 12,750.
Step 3: Check the options.
We can see that the correct answer is option C) 12,500.
Therefore, the correct answer is option C) 12,500.
To find the sum of all odd numbers between 200 and 300, we need to follow these steps:
Step 1: List the odd numbers between 200 and 300.
The odd numbers between 200 and 300 are:
201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299.
Step 2: Add the odd numbers.
Now we need to add all the odd numbers between 200 and 300. We can do this by using the formula:
Sum = (n/2) x (first term + last term)
where n is the number of terms, first term is the first odd number, and last term is the last odd number.
In this case, n = 51 (since there are 51 odd numbers between 200 and 300), first term = 201, and last term = 299.
Substituting these values into the formula, we get:
Sum = (51/2) x (201 + 299)
= 25.5 x 500
= 12,750
Therefore, the sum of all odd numbers between 200 and 300 is 12,750.
Step 3: Check the options.
We can see that the correct answer is option C) 12,500.
Therefore, the correct answer is option C) 12,500.
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Community Answer
The sum of all odd numbers between 200 and 300 isa)11600b)12490c)12500...
Because here our first term (a) is 201 and last term (l) is 299 and d is 2 you can use calculator method for this
formula for sum in calculator is
a+ = +/- d = equals to press n-1 time then press gt
so here, 201+=+2 press equals till 299 and then press gt. hope you will understand dear.
formula for sum in calculator is
a+ = +/- d = equals to press n-1 time then press gt
so here, 201+=+2 press equals till 299 and then press gt. hope you will understand dear.
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