(1)(a) Use the generalized binomial expansion to expand (1 + x)ā up to the x® and hence determine (1.05). to 5 decimal places
10 marks

The question is incomplete! Complete question along with answer and step by step explanation is provided below.  

Question:  

Use the generalized binomial expansion to expand (1 + x)^a up to the a = 5 and hence  determine (1.05)^5. to 5 decimal places.

Using the binomial theorem

Step-by-step explanation:

The binomial theorem is given by

For the given case, we have

So,

Therefore, using the binomial theorem

step-by-step explanation:

0

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116