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Question 5
Question: Find the first four terms of the sequence 4 + 5n. Which term of the sequence is 99? Answer: When n = 1, t 1 = 4+5(1) = 9. When n = 2, t 2 = 4+5(2) = 14 When n = 3, t 3 = 4+5(3) = 19. When n = 4, t 4 = 4+5(4) = 24 \ The ..
Question: Find the first four terms of the sequence 4 + 5n. Which term of the sequence is 99? Answer: When n = 1, t 1 = 4+5(1) = 9. When n = 2, t 2 = 4+5(2) = 14 When n = 3, t 3 = 4+5(3) = 19. When n = 4, t 4 = 4+5(4) = 24 \ The ..Question 5
Question: If A = {2,3}, B = {3,4,5}, C = {3,4,6}, find Answer: ..
Question: If A = {2,3}, B = {3,4,5}, C = {3,4,6}, find Answer: ..Question 5
Question: For given sequence, find the first four terms. Answer: ..
Question: For given sequence, find the first four terms. Answer: ..Example 5:
If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..
Question 7
Question: Find the first five terms of the sequence defined by t n = 6 - 4n. Which term of the sequence is -50? Answer: t n = 6 - 4n When n = 1, t 1 = 6 - 4(1) = 2 When n = 2, t 2 = 6 - 4(2) = -2 When n = 3, t 3 = 6 - 4(3) = -6 When n = 4, t 4 = 6 - 4(4) = -10 When n = h..
Question: Find the first five terms of the sequence defined by t n = 6 - 4n. Which term of the sequence is -50? Answer: t n = 6 - 4n When n = 1, t 1 = 6 - 4(1) = 2 When n = 2, t 2 = 6 - 4(2) = -2 When n = 3, t 3 = 6 - 4(3) = -6 When n = 4, t 4 = 6 - 4(4) = -10 When n = h..Examples:
a) 2:5 > 3:8 as 2x8 > 5x3 b) 2:5 < 5:7 as 2x7 < 5x5..
Example:
The compounded ratio of 2:3 and 4:5 is 2 x 4:3 x 5 i.e. 8:..
Example:
A = {3, 4, 5, 6}, B = {6, 4, 3, 5} A = B Elements in both sets need not be of same orde..
Illustrative examples
1) Find the value of x if 2:5::x:1..
Suggested answer:
Let x be the third proportional to 5 and 10. 5:10=10:x. 5x=10 x 10 (product of extreme is equal to product of means) 6) Find two numbers such that the mean proportional between them is 24 and the third proportional to them is 19..
Let x be the third proportional to 5 and 10. 5:10=10:x. 5x=10 x 10 (product of extreme is equal to product of means) 6) Find two numbers such that the mean proportional between them is 24 and the third proportional to them is 19.. Result
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