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Elden [556K]
2 years ago
6

A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5. What is the next term in

the sequence ?
Mathematics
2 answers:
levacccp [35]2 years ago
9 0
Given f(n+1) =-2f(n)
here f(n) =f(1) = -1.5
f(n+1) =f(2) = -2 * -1.5 = 3
telo118 [61]2 years ago
4 0

Answer:

The next term in the sequence is 3.                                                  

Step-by-step explanation:

Given : A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5.

To find : What is the next term in the sequence?

Solution :

The recursive formula is  f(n+1)=-2f(n)

We have given, f(1)=-1.5

We have to find f(2)

So, Substitute n=1 in the recursive formula,

f(1+1)=-2f(1)

f(2)=-2\times (-1.5)

f(2)=3

Therefore, The next term in the sequence is 3.

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