Answer:
a. x3 and x4 are the first to agree to two significant figures
b. x4 and x5 are the first to agree to three significant figures
Explanation:
8.30 x 10⁻⁵ = x1(0.100)²
8.30 x 10⁻⁵ = 0.01x1
x1 = 8.30 x 10⁻⁵/0.01 = 0.0083
8.30 x 10⁻⁵ = x2(0.100 + 0.0083)²
8.30 x 10⁻⁵ = (0.01172889)x2
x2 = 8.30 x 10⁻⁵/0.01172889
x2 = 0.007076543475128
8.30 x 10⁻⁵= x3 (0.100 + 0.007076543475128)²
8.30 x 10⁻⁵ = 0.011465386162581)x3
x3 = 8.30 x 10⁻⁵/0.011465386162581
x3 = 0.007239180505832
8.30 x 10⁻⁵ = x4 (0.100 + 0.007239180505832)²
8.30 x 10⁻⁵ = (0.011500241835562) x4
x4 = 8.30 x 10⁻⁵/0.011500241835562
x4 = 0.007217239531723
8.30 x 10⁻⁵ = x5 (0.1 + 0.007217239531723)²
8.30 x 10⁻⁵ = (0.011495536452803) x5
x5 = 8.30 x 10⁻⁵/0.011495536452803
x5 = 0.007220193710904
From the above results;
<em>a. x3 and x4 are the first to agree to two significant figures</em>
<em>b. x4 and x5 are the first to agree to three significant figures</em>
