Look at the table. make a conjecture about the sum of the first 30 positive even numbers. the sum is 30 × 30. the sum is 31 × 32. the sum is 30 × 31. the sum is 29 × 30. mc007-1.jpg

Even numbers are represented by 2n
they are 2n, 2(n+1), 2(n+2) etc until 2(n+29)

we can do a summation of a seqeucne
the nth even number is an=2+2(n-1)

the sum of a sequence of n terms, where the first term is a1 and the last one is an is


first term is 2
last one is 2+2(30-1)=2+2(29)=60

=
=
30*31
the answer is 30*31

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A

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