the cost of renting a kayak for one hour is $23. Each additional hour is 8$ more. Write an explicit formula and recursive formul
2 answers:
Explicit formula
Recursive formula
To tackle this task, we will utilize an arithmetic sequence. The rental charge for one hour of a kayak is $23, and each subsequent hour costs an additional $8. Thus, the initial term of the sequence is 23, while each further hour adds 8, resulting in the sequence:
{23, 31, 39, 47, 55,.....,n}
We can formulate a recursive equation of the type , where
signifies the nth term, n represents the number of terms, and d indicates the common difference within the sequence.
The common difference of the sequence {23, 31, 39, 47, 55,.....,n}. Consequently, the first term is , with the common difference being d = 8, reflecting the variation between each term.
To express an explicit formula in the form where
indicates the nth term, n is the number of terms,
denotes the first term of the sequence, and d signifies the common difference within the sequence.
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