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B(n)=1 (-2)^n-1 What is the 4th term in the sequence
Question
B(n)=1 (-2)^n-1
What is the 4th term in the sequence
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Mathematics
5 years
2021-08-31T20:22:59+00:00
2021-08-31T20:22:59+00:00 1 Answers
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Answers ( )
Answer:
The fourth term of the sequence B(4) =-8
The sequence is 1,-2,4,-8…
Step-by-step explanation:
Explanation:-
Given that the sequence
B(n) = 1(-2)ⁿ⁻¹
Put n=1
B(1) = 1(-2)¹⁻¹ = 2⁰ =1
Put n=2
B(2) = 1(-2)²⁻¹ = (-2)¹ =-2
Put n=3
B(3) =1(-2)³⁻¹ = (-2)² =4
Put n=4
B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8
The sequence
1,-2,4,-8…