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Questions and Answers
What is the formula for the nth term of an arithmetic sequence?
What is the formula for the nth term of an arithmetic sequence?
- Tn = a × (n - 1) d
- Tn = a / (n - 1) d
- Tn = a - (n - 1) d
- Tn = a + (n - 1) d (correct)
What is the sum of the first 100 positive integers?
What is the sum of the first 100 positive integers?
- 4000
- 6000
- 7000
- 5050 (correct)
What is the general formula for a finite arithmetic series?
What is the general formula for a finite arithmetic series?
- Sn = n / 2 × (a + l)
- Sn = n × (a + l)
- Sn = n / 2 × (2a + (n - 1) d) (correct)
- Sn = n × (a - l)
What is the last term (l) in an arithmetic sequence?
What is the last term (l) in an arithmetic sequence?
What is the advantage of using Karl Friedrich Gauss's method?
What is the advantage of using Karl Friedrich Gauss's method?
What is the common difference (d) in an arithmetic sequence?
What is the common difference (d) in an arithmetic sequence?
What is the formula for Sn when the last term l is unknown?
What is the formula for Sn when the last term l is unknown?
What is the purpose of deriving the general formula for a finite arithmetic series?
What is the purpose of deriving the general formula for a finite arithmetic series?
What is the formula for the sum of an arithmetic sequence from the first term (a) to the last term (l)?
What is the formula for the sum of an arithmetic sequence from the first term (a) to the last term (l)?
How many terms are being added together in the sum: $S_{100} = 1 + 2 + 3 + … + 100$?
How many terms are being added together in the sum: $S_{100} = 1 + 2 + 3 + … + 100$?
What is the value of $d$ in the sequence of positive integers?
What is the value of $d$ in the sequence of positive integers?
What is the purpose of adding corresponding pairs of terms in Karl Friedrich Gauss's method?
What is the purpose of adding corresponding pairs of terms in Karl Friedrich Gauss's method?
What is the value of $S_{100}$ when using Karl Friedrich Gauss's method?
What is the value of $S_{100}$ when using Karl Friedrich Gauss's method?
What is the formula for the $n$-th term of an arithmetic sequence?
What is the formula for the $n$-th term of an arithmetic sequence?
What is the formula for $S_n$ when the last term $l$ is unknown?
What is the formula for $S_n$ when the last term $l$ is unknown?
What is the advantage of using formulas to calculate the sum of an arithmetic sequence?
What is the advantage of using formulas to calculate the sum of an arithmetic sequence?
What is the sum of the first 50 positive integers?
What is the sum of the first 50 positive integers?
If the sum of the first 20 terms of an arithmetic sequence is 210, what is the common difference?
If the sum of the first 20 terms of an arithmetic sequence is 210, what is the common difference?
What is the sum of the first 15 terms of an arithmetic sequence with a first term of 3 and a common difference of 2?
What is the sum of the first 15 terms of an arithmetic sequence with a first term of 3 and a common difference of 2?
If the sum of the first 25 terms of an arithmetic sequence is 625, what is the first term?
If the sum of the first 25 terms of an arithmetic sequence is 625, what is the first term?
What is the sum of the first 30 terms of an arithmetic sequence with a last term of 60 and a common difference of 2?
What is the sum of the first 30 terms of an arithmetic sequence with a last term of 60 and a common difference of 2?
If the sum of the first 18 terms of an arithmetic sequence is 342, what is the last term?
If the sum of the first 18 terms of an arithmetic sequence is 342, what is the last term?
What is the sum of the first 12 terms of an arithmetic sequence with a first term of 2 and a last term of 26?
What is the sum of the first 12 terms of an arithmetic sequence with a first term of 2 and a last term of 26?
If the sum of the first 40 terms of an arithmetic sequence is 1040, what is the common difference?
If the sum of the first 40 terms of an arithmetic sequence is 1040, what is the common difference?
