The square of one hundred plus one reduces to the square of one
100x100+99x99-98x98+97x97-.-2x2+1x1
=100x100+197+193+189+185+.+5+1x1
=10000 + 4949 (sum of arithmetic sequence) + 1
=14950
RELATED INFORMATIONS
- 1. (1) 2 square meters=______ Square decimeter (2) 5 square decimeter=______ Square centimeter (3) 400 square decimeter=______ Square meters (4) 900 square centimeters=______ Square decimeter (5) 1 square meter=______ Square decimeter=______ Square centimeter (6)______ Square meter = 600 square decimeter=______ Square centimeter
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- 4. How much is it from 1 to 100?
- 5. 1 square meter = 100 square decimeter______ (judge right or wrong)
- 6. 1 square + 2 square + 3 square + 4 square. + 100 square =?
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- 12. When calculating the value of the square of 1 + 3 + 3 and the cube of 3 to the 100th power of.. + 3, let s = the square of 1 + 3 + 3 and the 100th power of.. + 3 1: Then 3S = 3 + 3 square + 3 100th power +... + 3 101st power 2: - 1: get 2S = 3 101st power - 1, s = 3 101st power - 1 difference divided by 2. Try to use the above method to find 1 + 8 + 8 square +... + 8 2012 power value, and find 1 + X + x square +... X n power (x is not equal to 1)
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