OL PC Unit 6 Flashcard

Front

What is the sum of the series that results in -682?

Back

The sum of the series is -682.

Front

What is the recursive formula for the sequence 3, 8, 13, 18, 23...?

Back

a_n = a_{n-1} + 5; a_1 = 3.

Front

Which row of Pascal's Triangle is used to expand (x+y)^3?

Back

1 3 3 1.

Front

What is a convergent sequence?

Back

A convergent sequence is a set of numbers that approach a specific value.

Front

What is a divergent sequence?

Back

A divergent sequence is a set of numbers that don't approach a specific value.

Front

Define a recursive formula in mathematics.

Back

A recursive formula defines each term of a sequence using the preceding term(s).

Front

What is Pascal's Triangle?

Back

Pascal's Triangle is a triangular array of binomial coefficients.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula a_n = a_1 + (n-1)d, where 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.

Front

What does it mean for a sequence to be bounded?

Back

A bounded sequence is one that has both upper and lower limits.