Kerri and James practiced for the school track meet. Kerri completed 8 laps in 16 minutes. If James ran at the same rate, how ma
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Answer:
Step-by-step explanation:
One is given the following function:
One is asked to evaluate the function for , substitute
in place of
, and simplify to evaluate:
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
Where () is the evaluator term (
) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,
Mr. Patel used 4.5 bags of seed
<em><u>Solution:</u></em>
Given that,
Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time
A bag of seeds holds 32 cups
1 bag of seed = 32 cups
Given that Patel refilled 24 times using 6 cups of seed each time
<em><u>Then, the number of cups used for the 24 times is given as:</u></em>
<em><u>Now we have to find the bags of seed needed for 144 cups</u></em>
Let "x" be the number of bags of seed for 144 cups
From given,
1 bag of seed = 32 cups
"x" bags of seed = 144 cups
This forms a proportion and we can solve it by cross multiplying
Thus 4.5 bags of seed is used by Mr.patel