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Front

What is the nth term rule of an arithmetic sequence?

Back

The nth term rule of an arithmetic sequence is a formula that allows you to find any term in the sequence based on its position (n). It is generally expressed as: a_n = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

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What is a prime factor?

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A prime factor is a factor of a number that is a prime number. Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves.

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How do you express a number in index form?

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Index form expresses a number as a product of its prime factors raised to their respective powers. For example, 12 can be expressed as 2^2 x 3^1.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get to the next term in an arithmetic sequence. It is calculated by subtracting any term from the term that follows it.

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What does it mean to expand an expression?

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To expand an expression means to multiply out the terms in parentheses and simplify the expression. For example, expanding 2(x + 4) results in 2x + 8.

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What is rounding?

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Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to what it was. For example, rounding 54 to the nearest ten gives 50.

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What is the formula for the nth term of the sequence 9, 13, 17, 21...?

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The nth term of the sequence is given by the formula 4n + 5.

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How do you find the nth term of the sequence 5, 8, 11, 14...?

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The nth term of the sequence can be found using the formula 3n + 2.

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What is the process of factorization?

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Factorization is the process of breaking down a number or expression into its constituent factors, which when multiplied together give the original number or expression.

Front

What is the significance of the first term in an arithmetic sequence?

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The first term is the starting point of the sequence and is essential for determining the nth term using the common difference.