Algebra Bell Ringer 11/13

Front

What is an explicit formula in a sequence?

Back

An explicit formula defines the nth term of a sequence directly as a function of n, allowing you to calculate any term without needing to know the previous terms.

Front

What is a recursive formula in a sequence?

Back

A recursive formula defines each term of a sequence based on the previous term(s), requiring knowledge of earlier terms to find later ones.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function f(n) at a specific value n, substitute n into the function's formula and simplify.

Front

What is a y-intercept in a graph?

Back

The y-intercept is the point where a graph crosses the y-axis, representing the value of y when x is 0.

Front

How do you find the rate of change between two points?

Back

The rate of change is calculated by taking the difference in y-values divided by the difference in x-values between two points.

Front

What does it mean for a sequence to be increasing?

Back

A sequence is increasing if each term is greater than the previous term.

Front

What does it mean for a sequence to be decreasing?

Back

A sequence is decreasing if each term is less than the previous term.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term in an arithmetic sequence.

Front

How do you express 'twice the sum of a number and 7' mathematically?

Back

This expression can be written as 2(x + 7), where x represents the number.