Question

Match the sequence to its equation
2, -4,-10, -16

Answer 1

Answer: 2, -4, -10. -16, ..., -6n+8 n=1, 2, 3, ...

Explanation:

2, -4, -10, -16

a₁=2

a₂=-4

a₃=-10

a₄=-16

a₂-a₁=-4-2=-6

a₃-a₂=-10-(-4)=-6

a₄-a₃=-16-(-10)=-6

Hence, this is an arithmetic progression: a₁=2 d=-6

`a_n=a₁+(n-1)d\\a_n=2+(n-1)(-6)\\a_n=2-6n+6\\a_n=-6n+8`