Answer:
The fifth term in the sequence b(5) = -16
The sequence of given n^ th term
-1,-2,-4,-8,-16 ..
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 ..