You inspect the series that you have, very carefully.
-- You notice that 9 was <em><u>increased by 2</u></em> to get 11.
-- You notice that 11 was <em><u>increased by 2</u></em> to get 13.
-- You notice that 13 was <em><u>increased by 2</u></em> to get 15.
-- You notice that 15 was <em><u>increased by 2</u></em> to get 17.
By now, it begins to dawn on you. You say to yourself "Self ! I'll just bet
that each term has to be increased by 2 in order to get the next term."
Acting on that assumption, you set out on your flight of prediction:
-- You take the last term, 17, increase it by 2,and get 19.
-- You take the new term that you have created, 19,
increase it by 2, and get 21.
-- You take the 2nd new term that you have created, 21,
increase it by 2, and get 23.
Now you have the three new terms, and that's all you were asked for.
But you're just getting warmed up. Nothing can stop you now.
25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49,
51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75,
77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101
Suddenly, you stop ! You just realized that this is not the ONLY
possible pattern that would produce the same first 5 numbers.
Answer:
Step-by-step explanation:
- This is a neat question. I suggest that you graph it on desmos. You will lean a bunch by doing it. These are the graphs you should put on there.
- y = 1/(abs(x - a) - 1):In red
- When you use your down arrow, a new entry will be given you. You can use your mouse to operate the slider you get when you type a = 5
- so your next graph should be a = 5
- Use your down arrow again. Put in x = 4: Blue Line
- Use your down arrow again. Put in x = 6: Green Line
Be patient with this. Play with the sliders to see what they do. I believe you are correct, but I am not certain of the second union although it does look correct.
The graph I have enclosed is of what I have described in the steps above. Make sure you try it all out.
Answer:
x = 102 degrees
Step-by-step explanation:
Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.
2x-37 = x+65
Subtract x from the left to isolate the variable and add 37 to the right.
x = 102
Answer:
4 I believe
Step-by-step explanation:
