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  1. Expand (1 + ¼ x)4 
  2. Use your expansion above to evaluate (0.975)to 4 significant figures.

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  1. Expand (1 + ¼ x)4 
    (14 + 4x 1/4x) + 6 (1/4x)2 + 4(1/4x)3 + (1/4x)4
    1 + 1/x + 3/8x2 + 1/6x3 + 1/6x4
  2. Use your expansion above to evaluate (0.975)4 to 4 significant figures. 
    1 + 1/-10 + 3/8(-10)2 + 1/16(-10)3 + 1/64(-10)4
    = 0.903689063
    = 0.9037
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