Arithmetic Sequences 12/4/24

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 common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

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

Back

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

Front

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Back

170

Front

Is the following sequence arithmetic? 21, 13, 5, -3, ...

Back

YES

Front

What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76?

Back

76, 70, 64, 58

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

d = 5

Front

Find the 32nd term of the sequence: 34, 37, 40, 43, ...

Back

127

Front

What is the first term of the arithmetic sequence if the 5th term is 50 and the common difference is 5?

Back

The first term is 30.

Front

If the first term of an arithmetic sequence is 10 and the common difference is -2, what is the 10th term?

Back

The 10th term is -8.