SOLUTION: Find the next term and then state the conjecture 1.1 = 1 11.11 = 121 111.111 = 12321 1111.1111 = 1234321 11111.11111 = __________

Algebra ->  Geometry-proofs -> SOLUTION: Find the next term and then state the conjecture 1.1 = 1 11.11 = 121 111.111 = 12321 1111.1111 = 1234321 11111.11111 = __________      Log On


   

Question 828920: Find the next term and then state the conjecture
1.1 = 1
11.11 = 121
111.111 = 12321
1111.1111 = 1234321
11111.11111 = __________
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The trick is to see what the terms have in common. In this case, it's multiplication. We can see from the first set that 1x1=1. Aha! What is 11x11? Yes, 121. If you use your calculator, you can see that each subsequent set is multiplied.
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Your next one is 11111.1111 (or 11111*11111) = 123454321
The next one after that is 111111.111111 (or 111111*111111) = 12345654321
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Can you do the next one WITHOUT a calculator? Look at the pattern of each number (hint: middle number)
1111111.1111111 = ?