Question
Algebra 1 U.8 Write variable expressions for geometric sequences XPC 4)) Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence , where n=1 for the first term. -9.9,29.7,-89.1,ldots 4) Write your answer using decimals and integers. a_(n)=square (square )^n-1
Solution
3.5
(336 Votes)
Max
Veteran ยท Tutor for 9 years
Answer
The given sequence is -9.9, 29.7, -89.1, ...We can find the common ratio by dividing any term by its preceding term.Common ratio (r) =
Also,
The first term,
.The general formula for a geometric sequence is given by
, where
is the nth term,
is the first term, r is the common ratio, and n is the position of the term.In this case,
and
.So, the equation for the sequence is:
Final Answer: The final answer is