What is an arithmetic sequence?

Mathematics Questions

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Mathematics
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Hard
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1.
FLASHCARD QUESTION
Front
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 explicit formula for an arithmetic sequence?
Back
The explicit formula for an arithmetic sequence is given by 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 - a_{n-1}.
4.
FLASHCARD QUESTION
Front
What does it mean to factor an expression?
Back
Factoring an expression means rewriting it as a product of its factors.
5.
FLASHCARD QUESTION
Front
What is the factored form of 3k² + 12k - 180?
Back
The factored form is 3(k + 10)(k - 6).
6.
FLASHCARD QUESTION
Front
What is a complex number?
Back
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.
7.
FLASHCARD QUESTION
Front
How do you simplify a complex number?
Back
To simplify a complex number, combine like terms by adding or subtracting the real parts and the imaginary parts separately.
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