N2-m?; n= -2, and m= -9
in? - m2 = (Simplify your answer.)

1) 5

2) 9

Step-by-step explanation:

n2 - m

= -2(2) - (-9)

= -4 + 9

= 5

in - m2

= i(-2) - (-9)(2)

= -2i + 18

=> -2i = -18

=> i = -18/-2

=> i = 9

9. a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. aₙ = 2 (-3)ⁿ⁻¹

Step-by-step explanation:

9. aₙ = 13 (-2)ⁿ⁻¹

This is a geometric sequence where the first term is 13 and the common ratio is -2.

So the recursive formula is:

a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. a₁ = 2, aₙ = aₙ₋₁ × (-3)

This is a geometric sequence where the first term is 2 and the common ratio is -3.

So the explicit formula is:

aₙ = 2 (-3)ⁿ⁻¹