Given:
The number to apply binomial theorem.
Required:
Use the first three terms of the binomial theorem to approximate 3.56
Explanation:
The binomial theorem is
[tex](a+b)^n=^nC_0a^nb^0+^nC_1a^{n-1}b^1+^nC_0a^{n-2}b^2+\cdot\cdot\cdot\cdot\cdot[/tex]
Now, first three terms approximation
[tex]\begin{gathered} (3+0.5)^6=^6C_0\times3^6\times0.5^0+^6C_1\times3^5\times0.5^1+^6C_2\times3^4\times0.5^2 \\ =729+729+303.75 \\ =1761.75 \end{gathered}[/tex]
Answer:
Option C is correct.
