Make a conjecture about the next item in the sequence.
6, 9, 7, 10, 8

when n is even

when n is odd

Step-by-step explanation:

We are given that a sequence

6,9,7,10,8

We have to make  conjecture about the next item in the sequence.

We have

We can see that the second term is increase by 3 from first term, third decrease by 2 from second term,fourth term increase by 3 from third term, fifth term decrease by 2 from fourth term.

when n is even

when n is odd

cosine

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)