Tamara J. answered • 03/12/13
Math Tutoring - Algebra and Calculus (all levels)
First, let's find the pattern in the given sequence: 1, 0, -2, -5
From 1 to 0: 1 - 1 = 0
From 0 to -2: 0 - 2 = -2
From -2 to -5: -2 - 3 = -5
This shows that 1 is subtracted from the first number in the sequence to get the second number, 2 is subtracted from the second number to get the third, and 3 is subtracted from the third number to get the fourth number. So, this would suggest that the next number is obtained by subtracting 4 from the fourth number and the number after that is obtained by subtracting 5 from the previous number.
Let's call the next two terms in the given sequence a and b, respectively. That is,
1, 0, -2, -5, a, b
From -5 to a: -5 - 4 = -9 ==> a = -9
From -9 to b: -9 - 5 = -14 ==> b = -14
Thus, the next two terms in the sequence are -9 and -14, respectively.
==> 1, 0, -2, -5, -9, -14
