Question

What are the next 3 terms to this sequence? 2, 6, − 4, 10, − 14, − 24...

Answer 1

Answer:

-38, 62, -100

Step-by-step explanation:

I think you meant  a +24,  not the -24.

The recursive formula is   a_n = a_(n-2)  -  a_(n-1)

so. we try this 3 times after the -24 term

a_3 = -4 =  2 - 6 =   a_1 - a_2

...

a_6  = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38)  = 62

a_9 = a_7 - a_8 =  -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162