Question

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? –3.5 –3 0.5 3

Answer 1

Given that the first term of the sequence is –1.5, the next term of the sequence would be 3

How to determine the next term?

The recursive function is given as:

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

Substitute 1 for n

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

Evaluate

f(2) = -2f(1)

Given that the first term is -1.5, the equation becomes

f(2) = -2 * -1.5

Evaluate

f(2) = 3

Hence, the next term of the sequence is 3

Read more about sequence at:

https://brainly.com/question/6561461

#SPJ4