Arithmetic Sequences

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, this is an arithmetic sequence because the difference between consecutive terms is constant.

Front

Find the common difference of the sequence: 29, 21, 13, 5, ...

Back

The common difference (d) is -8.

Front

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

Back

a₂₀ = 138.

Front

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

Back

The 32nd term is 127.

Front

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

Back

a₂₆ = -515.

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

Subtract any term from the subsequent term: d = a_n+1 - a_n.

Front

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

Back

The nth term (a_n) can be found using the formula: a_n = a₁ + (n-1)d.

Front

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

Back

The 10th term is 10 + (10-1) * 3 = 37.

Front

What is the 5th term of the arithmetic sequence: 2, 5, 8, 11, ...?

Back

The 5th term is 14.