Find the sum of all numbers between 251 to 273
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Step-by-step explanation:
sum of all numbers between 251 to 273
= (sum of all numbers between 1 to 273) - (sum of all numbers between 1 to 250)
= (273×274/2) - (250×251)/2
= (273×274 - 250×251)/2
= 6026
Alternative solution:
1st term = a = 251
common difference = d = 1
number of terms = n = 273-251 + 1 = 23
sum of all numbers between 251 to 273 = S23
= 23{2×251+(23-1)1}/2
= 23{502+22}/2
= 23×524/2
= 6026
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