1. several students were working on question a of problem 5.1. they
wondered what would happen if they extended their table. do you
agree or disagree with each conjecture below? explain.
heidi's conjecture:
the 1 column will contain only ones.
jean's conjecture:
any odd power (an odd row) will have
all odd numbers in it.
evan's conjecture:
the bottom right corner of any table
will always have the largest value.
chaska's conjecture:
to get from one row to the next in the
tens column multiply the number you
have by 10. for example 10% - 100,000,
so 106 = 100,000 x 10 = 1,000,000
roger's conjecture:
so far, every number in the 2 column
is even. eventually an odd number
will show up if i extend the table
far enough
tim's conjecture:
the row where x = 2 will always have
square numbers in it.