Beginning Sequences Flashcard

Front

What is a geometric sequence?

Back

A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula to find the nth term of an arithmetic sequence?

Back

a + (n-1)d

Front

How many cubes will be in step 5 if the pattern is doubling each time?

Back

64

Front

Find the first four terms of the sequence given the rule: g_n = 4(5)^(n-1)

Back

4, 20, 100, 500

Front

Find the first term of the given sequence: a_14=68, d=3

Back

29

Front

What is the common difference in an arithmetic sequence?

Back

The fixed amount that each term increases or decreases by.

Front

What is the first term of a geometric sequence if the second term is 10 and the common ratio is 2?

Back

5

Front

If the first term of an arithmetic sequence is 5 and the common difference is 4, what is the 10th term?

Back

41

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (2a + (n-1)d)

Front

What is the common ratio in a geometric sequence?

Back

The fixed number by which each term is multiplied to get the next term.