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# what are the next two terms ?

1,0,-2,-5,_,_

### 1 Answer by Expert Tutors

Tamara J. | Math Tutoring - Algebra and Calculus (all levels)Math Tutoring - Algebra and Calculus (al...
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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