Arithmetic Flashcard (like illuminate for Distance Learners)

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) - a(n-1).

Front

What is the recursive formula for an arithmetic sequence?

Back

The recursive formula is a(n) = a(n-1) + d, where d is the common difference.

Front

Given the sequence 1, 201, 401, 601, what is the common difference?

Back

d = 200.

Front

Write the recursive formula for the sequence 6, 4, 2, 0, ...

Back

a(1) = 6, a(n) = a(n-1) - 2.

Front

Find the next three terms in the sequence -3, -8, -13, -18, ...

Back

-23, -28, -33.

Front

Find the next three terms in the sequence -33, -24, -15, -6, ...

Back

3, 12, 21.

Front

What is the common difference in the sequence -34, -29, -24, -19, ...?

Back

d = 5.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 5th term?

Back

The 5th term is 5 + 4*3 = 17.

Front

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

Back

The nth term is given by a(n) = a(1) + (n-1)d.