Question
Download Solution PDFThe value of 112 + 122 + 132 + . . . . . . + 202 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
Sum of square of n numbers =
Calculation:
Case: 1
12 + 22 + 32 + . . . . . . + 202
Sum of square of 20 numbers =
⇒ Sum of square of 20 numbers =
⇒ Sum of square of 20 numbers = 2870
Case: 2
12 + 22 + 32 + . . . . . . + 102
⇒ Sum of square of 10 numbers =
⇒ Sum of square of 10 numbers =
⇒ Sum of square of 10 numbers = 385
According to the question:
⇒ 112 + 122 + 132 + . . . . . . + 202 = Sum of square of 20 numbers - Sum of square of 10 numbers
⇒ 112 + 122 + 132 + . . . . . . + 202 = 2870 - 385
∴ 112 + 122 + 132 + . . . . . . + 202 = 2485
The correct option is 4 i.e. 2485
Last updated on Jul 12, 2025
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