Change in Arithmetic and Geometric Sequences Flashcard

Front

What is the difference between a sequence and a function in terms of their graphs?

Back

Sequences are represented by discrete points, while functions are continuous lines.

Front

What is the common characteristic of successive terms in an arithmetic sequence?

Back

Each term is obtained by adding a common difference to the previous term.

Front

What is the common characteristic of successive terms in a geometric sequence?

Back

Each term is obtained by multiplying the previous term by a common ratio.

Front

Find the 10th term of an arithmetic sequence with a first term of 5 and a common difference of 3.

Back

32

Front

Given a geometric sequence with a first term of 2 and a common ratio of 3, find the 7th term.

Back

1458

Front

Arithmetic sequence: first term = 4, common difference = 2. First five terms?

Back

4, 6, 8, 10, 12

Front

A geometric sequence starts with a first term of 3 and has a common ratio of 2. Write the first five terms of this sequence.

Back

3, 6, 12, 24, 48

Front

Given a sequence denoted by a_n, where a_n = 2n + 1. Is this sequence arithmetic or geometric?

Back

Arithmetic, because it has a common difference of 2.

Front

Arithmetic sequence: 5th term = 8, 10th term = 18. Find the common difference.

Back

2

Front

You have $10 in your bank account. It doubles every month. How much money will you have after 5 months?

Back

$320