IM 1 Ch.5 Closure

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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 a_1 is the first term and d is the common difference.

Front

What does a_1 represent in an arithmetic sequence?

Back

a_1 represents the first term of the arithmetic sequence.

Front

Is the sequence 3, 15, 75 an arithmetic sequence?

Back

No, it is not an arithmetic sequence because the difference between terms is not constant.

Front

Find the 46th term of the arithmetic sequence 3, 8, 13, 18, 23...

Back

The 46th term is 228.

Front

What is the common difference in the sequence 5, 12, 19, 26...?

Back

The common difference is 7.

Front

Which of the following is an arithmetic sequence? 2, 7, 11, 14 or 3, 10, 17, 24, 31?

Back

3, 10, 17, 24, 31 is an arithmetic sequence.

Front

What is the formula to find the common difference (d) in an arithmetic sequence?

Back

d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Front

If a_1 = 5 and d = 3, what is a_5?

Back

a_5 = 5 + (5-1)3 = 5 + 12 = 17.

Front

What is the 20th term of the sequence 5, 12, 19, 26...?

Back

The 20th term is 138.