Respuesta :

Answer:

The fifth term in the sequence b(5) = -16

The sequence of given n^ th term

-1,-2,-4,-8,-16 ..

Step-by-step explanation:

Explanation:-

Given that the sequence b(n) =-1(2)ⁿ⁻¹

Put n=1

The first term

   b(1) = -1(2)¹⁻¹ = -1(2⁰) =-1

Put n=2

The second term

   b(2) =-1(2)²⁻¹ =-1(2)¹ =-2

Put n=3

The third term

   b(3) =-1(2)³⁻¹ =-1(2)² =-4

Put n=4

The fourth term

b(4) =-1(2)⁴⁻¹ =-1(2)³ =-8

Put n=5

The fifth term

b(5) =-1(2)⁵⁻¹ = -1(2)⁴ =-16

Final answer:-

The sequence of given n^ th term

-1,-2,-4,-8,-16 ..