Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence?
Answers
Answer:
The sequence is recursive and can be represented by the function f(n + 1) = f(n) + 3/8
Step-by-step explanation: i got it right in edgenuity right now.
Answer:
The statement describing the sequence = n
Step-by-step explanation:
Given
The sequence of fractions is
To find,
A statement describing this sequence
Recall the formula
The nth term of an AP is a+(n-1)d, where 'a' is the first term and 'd' is the common difference.
Solution
Given fraction is
=
Here the first term of the sequence is ,
The second term is
The third term is
second term - first term =
Third term - second term =
∵Third term - second term = second term - first term,
The given sequence form an AP, with the first term and common difference
n-th term = + (n-1)
= + n -
= n
∴ The statement describing the sequence is n, where 'n' is a natural number.
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