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Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.
9*9+7=88
98*9+6=888
987*9+5=8888
9876*9+4=88888
Make a conjecture by predicting the correct numbers in the line below.
blank * 9 +3 =

Sagot :

Ogorwyneidn

The number predicted is 98765 and using calculator gives 888888 which confirms it is correct.

Given data

9*9+7=88

98*9+6=888

987*9+5=8888

9876*9+4=88888

How to predict the correct numbers

Using inductive reasoning and the given data as the premise we can see that the number multiplying 9 is gotten by adding a new digit which is a lesser digit of the preceding number while counting backwards.

Using the last  operation as instance we have that

9876*9+4=88888

the last digit that joined is 6, and this number is the next digit after 7 while counting backwards. Also the number 4 added is the next after 5 while counting backwards.

so we can predict the next row by counting backwards in the two occasions as follows:

counting backwards after 6 is 5 therefore we have 98765

counting backwards after 4 is 3 therefore we have 3

arranging the numbers into row gives

98765 * 9 + 3

adding with a calculator gives

98765 * 9 + 3 = 888888

The number predicted is 98765

Read more on number prediction here: https://brainly.com/question/25955478

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