Simplify the expression:

360 - 357 + 354 - 351 + ... + 300 - 297

360 − 357 + 354 − 351 + ... + 300 − 297 = ( 360 − 357 ) + ( 354 − 351 ) + ... + ( 300 − 297 ) = 11 3 + 3 + ... + 3 ​ ​ = 11 × 3 = 33

Answered by Anonymous | 2024-06-25

x = 360 − 357 + 354 − 351 + ... + 300 − 297 = 3 + 3 + 3 + ... + 3 = 3 n an d 300 = 360 − 6 ⋅ ( n − 1 ) ⇒ 6 n = 66 / : 6 ⇒ n = 11 x = 3 ⋅ 11 = 33

Answered by kate200468 | 2024-06-25

The simplified expression 360 − 357 + 354 − 351 + ... + 300 − 297 equals 33. Each pair of terms results in 3, and there are 11 pairs in total. Thus, the final result is calculated as 3 × 11 = 33 .
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Answered by Anonymous | 2024-11-07