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?
Answers
Answered by
11
Since, The first term of the sequence is –1.5
So, f(1) = –1.5 (1)
And given that, f(n + 1) = –2f(n)
now by substituting the value of n = 1 in this equation, we get
f( 1 + 1 ) = –2 x f( 1 )
f( 2 ) = –2 x f( 1 )
now by substituting the value of f( 1 ) from equation (1),
f( 2 ) = –2 x ( –1.5 )
f( 2 ) = 3
So, f(1) = –1.5 (1)
And given that, f(n + 1) = –2f(n)
now by substituting the value of n = 1 in this equation, we get
f( 1 + 1 ) = –2 x f( 1 )
f( 2 ) = –2 x f( 1 )
now by substituting the value of f( 1 ) from equation (1),
f( 2 ) = –2 x ( –1.5 )
f( 2 ) = 3
Answered by
7
Answer:
the answer would be 3
( D )
Step-by-step explanation:
Similar questions