Question

B(1)=-54
b(n)=b(n-1) 4/3
What is the 4th term

Answer 1

-128

Explanation:

b(1) = -54

b(2) = b(1) ⋅
`(4)/(3)` = -72

b(3) = b(2) ⋅
`(4)/(3)` = -96

b(4) = b(3) ⋅
`(4)/(3)` = -128

Answer 2

-128

Explanation:

Evaluate the recursive relation 3 times:

b(2)= b(1) 4/3 = (4/3)(-54) = -72

b(3) = b(2) 4/3 = (4/3)(-72) = -96

b(4) = b(3) 4/3 = (4/3)(-96) = -128

The fourth term is -128.