Question: Solve the following equations. 1. 1 1 1 1 = 4 (I+21)(x+23) +...+ (r+1)(r+3) (r+3)(r+5) (r+5)(r +7) 2. 1 1 1 = 5 (r+24)(x+26) +...+

Solve the following equations. 1. 1 1 1 1 = 4 (I+21)(x+23) +...+ (r+1)(r+3) (r+3)(r+5) (r+5)(r

1. 1 1 1 1 = 4 (I+21)(x+23) +...+ (r+1)(r+3) (r+3)(r+5) (r+5)(r +7) 2. 1 1 1 = 5 (r+24)(x+26) +...+ (r+2)(r+4) (+4)(+6) (r+ 6)(r +8) 3. 1 1 (r+1)(r +4) (r+4)(x+7) (r+7)(r+10) = 6 (I+25)(1+ 28) 4. 1 1 1 = 7 (I+28)(r+31) t...+ (x +2)(x+5) (r+ 5)(r+8) (r+ 8)(r +10) 5. 1 1 1 (r+3)(1+6) (+9)(z+12) +. (r+30)(x+33) 6. 1 1 1 1 +...+ (2x+1)(2r+3) (2r +3)(2.r +5) (2r +5)(2r + 7) (2x + 25)(2r + 27) 7. 1 1 1 (3x + 4)(3r +7) + (3x + 7)(3r + 10) 10 (3x +31)(3r + 34) (3r+1)(3r+4) 8. 1 1. 1 1 (4x+7)(4r+11) (4x+11)(4x + 15) = 11 (4x+23)(4x+ 27) (4r +3)(4x+7) 9. 1 1 1 = 12 (5x+2)(5x+7) (5x + 7)(5x+ 12) (5x +12)(5a + 17) (5.x+27)(5x+ 32) 10. 1 1 1 = 13 (6x+1)(6x+7) (6x+7)(6r + 13) (6x +13)(6x + 19) (6x + 37)(6x + 43) fraction decomposition

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