Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and − (−1 fraction of one-half ). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first. (7 points)
Answers
Answer:
1. Determine k so that ( ), ( ) ( ) 3 24 6 2 kk k and are three consecutive
terms of an AP. [CBSE 2009C]
2. Find the value of x for which the numbers ( ), ( ) 5 24 1 x x and ( ) x 2 are
in AP.
3. If ( ), ( ) ( ) 3 13 5 5 1 yy y and are three consecutive terms of an AP then
fi nd the value of y. [CBSE 2014]
4. Find the value of x for which ( ), , ( ) x xx 22 2 3 are three consecutive
terms of an AP. [CBSE 2009C]
5. Show that ( ) ,( ) ( ) ab a b ab and 22 2 2 are in AP.
6. Find three numbers in AP whose sum is 15 and product is 80.
HINT Let the numbers be ( ), , ( ). a daa d
7. The sum of three numbers in AP is 3 and their product is –35. Find the
numbers.
8. Divide 24 in three parts such that they are in AP and their product is 440.
9. The sum of three consecutive terms of an AP is 21 and the sum of the
squares of these terms is 165. Find these terms.