Arithmetic Sequence Extra Practice

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

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

If the first term of an arithmetic sequence is 5 and the common difference is 7, what is the 10th term?

Back

The 10th term is 5 + (10 - 1) * 7 = 5 + 63 = 68.

Front

In the sequence 2, 5, 8, 11, what is the common difference?

Back

The common difference is 3, as each term increases by 3.

Front

How do you find the sum of the first n terms of an arithmetic sequence?

Back

The sum (S_n) of the first n terms can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

What is the 7th term in the arithmetic sequence: 125, 150, 175, ...?

Back

The 7th term is 125 + (7 - 1) * 25 = 175 + 150 = 275.

Front

If a sequence starts with 6 and has a common difference of 5, what is the 4th term?

Back

The 4th term is 6 + (4 - 1) * 5 = 6 + 15 = 21.

Front

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

Back

The 20th term is 5 + (20 - 1) * 7 = 5 + 133 = 138.

Front

In the sequence -15, -35, -55, what is the common difference?

Back

The common difference is -20, as each term decreases by 20.

Front

How much money will you have saved after 1 year if you save $20 a month starting with $50?

Back

After 1 year, you will have saved $50 + (12 * 20) = $50 + $240 = $290.