A sequence {an} is defined recursively, with a1 = -1, and, for n > 1, an = an-1 + (-1)n. Find the first five terms of the sequence.

The first five terms are -1, -3, -6, -10, -15

Step-by-step explanation:

∵ The recursive formula is

    = -1 , for n > 1

∵ is the first term

∴ The 1st term is -1

To find the 2nd term substitute n by 2

∵

∴

∴ The 2nd term is -3

To find the 3rd term substitute n by 3

∵

∴

∴ The 3rd term is -6

To find the 4th term substitute n by 4

∵

∴

∴ The 4th term is -10

To find the 5th term substitute n by 5

∵

∴

∴ The 5th term is -15

The first five terms are -1, -3, -6, -10, -15

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step-by-step explanation:

1/800 is the right answer