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?
To find the next term in the sequence, we can use the recursive formula f(n+1) = -2f(n), where n represents the position of the term in the sequence.
Given that the first term, f(0), is -1.5, we can find the next term as follows:
f(1) = -2 * f(0)
= -2 * (-1.5)
= 3
Therefore, the next term in the sequence is 3.
To find the next term in the sequence, you can use the recursive formula provided. The formula states that each term of the sequence is twice the opposite sign of the previous term. Here's how you can calculate the next term:
1. Start with the given first term: f(1) = -1.5.
2. Use the recursive formula f(n+1) = -2f(n) to find the next term.
- Substitute n = 1 to get f(2) = -2 * f(1) = -2 * (-1.5) = 3.
3. Therefore, the next term in the sequence is 3.
In this case, the first term is -1.5, and the next term is 3.
just use the definition.
f(1) = -1.5
f(2) = -2f(1) = -2(-1.5) = 3
f(3) = -2f(2) = -6
and so on