Mathematics Questions

Mathematics Questions

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Flashcard

Mathematics

KG

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 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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