
Arithmetic Sequences and Series Practice
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Mathematics
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Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an arithmetic sequence?
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
2.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
3.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
The common difference (d) is found by subtracting any term from the subsequent term: d = a_(n+1) - a_n.
4.
FLASHCARD QUESTION
Front
What is the sum of the first n terms of an arithmetic series?
Back
The sum (S_n) of the first n terms can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_n is the nth term.
5.
FLASHCARD QUESTION
Front
What is the 14th term of the sequence: 7, 2, -3, ...?
Back
The 14th term is -357.
6.
FLASHCARD QUESTION
Front
What is the next term in the sequence: 2, 4, 8, 16?
Back
The next term is 32.
7.
FLASHCARD QUESTION
Front
How do you evaluate the sum of an arithmetic series?
Back
To evaluate the sum, identify the first term, last term, and number of terms, then apply the sum formula.
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