Arithmetic Sequence

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

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

Back

d = 200.

Front

Is the sequence 37, 31, 25, 19 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence.

Front

How do you determine if a sequence is arithmetic?

Back

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

Front

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75.

Back

a₂₆ = -515.

Front

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

Back

Yes, it is an arithmetic sequence.

Front

Given the sequence 29, 21, 13, 5, what is the common difference?

Back

d = -8.

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 = a₁ + (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

a₁₀ = 5 + (10-1)3 = 32.