M1T2 Flashcard 1 (Arithmetic Sequences)

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

Find a_6 in the arithmetic sequence: 3, 6, 9, 12...

Back

18

Front

What is the common difference of the arithmetic sequence: -18, -23, -28, -33...?

Back

d = -5

Front

What is the common difference of the arithmetic sequence: 37, 31, 25, 19...?

Back

d = -6

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

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

Back

127

Front

Is the sequence arithmetic: 17, 9, 1, -7, -15...?

Back

Yes

Front

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

Back

a_n = a_1 + (n-1)d.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

32