3.4 Homework A1H

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 (a_n) 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 is the common difference in the sequence: 5, 12, 19, 26?

Back

The common difference is 7.

Front

Is the sequence 17, 9, 1, -7 an arithmetic sequence?

Back

Yes, the common difference is -8.

Front

Find a_26 in the arithmetic sequence: -15, -35, -55, -75.

Back

a_26 = -515.

Front

What is the 35th term in the sequence: -10, -14, -18, -22?

Back

The 35th term is -146.

Front

Which of the following is NOT an arithmetic sequence: 12, 18, 24, 30 or 2, 4, 8, 16?

Back

2, 4, 8, 16 is NOT an arithmetic sequence.

Front

What is the formula to find the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 10th term?

Back

The 10th term is 39.

Front

What is the common difference in the sequence: 10, 7, 4, 1?

Back

The common difference is -3.