Questions on Evaluations

Question 11

Question:  

Answer:   




The greatest value of 'r' can be 8. Then, the greatest term in the expansion is the 9^th term.

Question 12

Question:   Find the greatest term in the expansion of
(2a + b)¹⁴ when a = 4, b= 5.

Answer:   


Hence the greatest term is the 6^th term.

Question 13

Question:   If A and B be the sum of the odd terms and the sum of the even terms separately in the expansion of (x + a)ⁿ, then

Answer:   


Again,

Question 14

Question:   In the expansion (x + y)ⁿ the coefficients of 4^th and 13^th terms are equal. Find n.

Answer:   

Question 15

Question:  

Answer:   
Here y = 4x, x = 1, n = 8






6^th term is the greatest.

Question 16

Question:   Evaluate (0.998)⁸ correct to 6 decimal places.

Answer:   

Question 17

Question:  

Answer:   
Put x = -1

Question 18

Question:   Prove that

Answer:   

Question 19

Question:   Use the Binomial Theorem to (expand) evaluate.

Answer:   

Question 20

Question:   Write and simplify the term involving in the expansion

Answer: