Arithmetic Sequence Word Problems

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Questions and Answers

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?

$45$
$2000$ (correct)
$4095$
$6050$

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?

<p>$45$ (B)</p> Signup and view all the answers

In Example #1, how many students participated in the fundraising event?

<p>$91$ (A)</p> Signup and view all the answers

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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Description

Test your skills in solving arithmetic sequence word problems with this quiz. Learn how to apply arithmetic sequence formulas to real-life scenarios, like fundraising events for underprivileged children.