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Questions and Answers
Which formula is used to solve arithmetic sequence word problems?
Which formula is used to solve arithmetic sequence word problems?
- $an = a1 + (n + 1)/d$
- $an = a1 + (n + 1)d$
- $an = a1 + (n - 1)d$ (correct)
- $an = a1 + (n - 1)/d$
In Example #1, what is the beginning amount of money?
In Example #1, what is the beginning amount of money?
- $45$
- $2000$ (correct)
- $4095$
- $6050$
In Example #1, what is the final amount of money?
In Example #1, what is the final amount of money?
- $6050$ (correct)
- $45$
- $4095$
- $2000$
In Example #1, what is the amount of money raised by each student?
In Example #1, what is the amount of money raised by each student?
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In Example #1, how many students participated in the fundraising event?
In Example #1, how many students participated in the fundraising event?
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Study Notes
Arithmetic Sequence Formula
- The formula for an arithmetic sequence is ( a_n = a_1 + (n - 1) \cdot d ), where:
- ( a_n ) = the nth term
- ( a_1 ) = the first term
- ( n ) = the number of terms
- ( d ) = the common difference between terms.
Example #1 Key Data
- The beginning amount of money is the initial value or contribution which can be identified as the first term ( a_1 ).
- The final amount of money represents the last term in the sequence or the nth term ( a_n ) after all contributions.
- The amount raised by each student is referred to as the common difference ( d ) within the sequence.
- The number of students participating in the fundraising event corresponds to ( n), the total count of terms in the sequence.
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