The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solutio
n to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?
1 answer:
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1. Geometric Sequence
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Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here
(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r
As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:
In case of given sequence,
So to find the 5th term
(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:
Putting the values of a_1 and r
Hence,
1. Geometric Sequence
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Keywords: Geometric sequence, common ratio
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