Finding Greatest terms

Question 21

Question:  

Answer:   




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

Question 22

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 23

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 24

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

Answer:   

Question 25

Question:  

Answer:   
Here y = 4x, x = 1, n = 8






6^th term is the greatest.

Question 26

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

Answer:   

Question 27

Question:  

Answer:   
Put x = -1

Question 28

Question:   Prove that

Answer:   

Question 29

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

Answer:   

Question 30

Question:   Write and simplify the term involving in the expansion

Answer:   

Question 31

Question:   Simplify the term independent of x in the expansion of

Answer: