1.5 Flashcard

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 (d) in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term in the sequence.

Front

Given the sequence 4, 7, 10, 13, what are the next two terms?

Back

The next two terms are 16 and 19.

Front

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

Back

Yes, it is an arithmetic sequence.

Front

What is the common difference of the sequence 97, 86, 75, 64?

Back

The common difference is -11.

Front

Calculate the sum of the first 10 terms of the sequence 2, -2, -6, -10,...

Back

The sum is -160.

Front

What is the common difference (d) in the sequence -5, -1, 3, 7, 11?

Back

The common difference is +4.

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

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is the same.

Front

What is the sum formula for 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_1 is the first term and a_n is the nth term.