Algebra 2 - Arithmetic Sequences Flashcards

What sequence has a common difference of d=4?

What sequence has a common difference of d=-4?

Find the first 5 terms of the arithmetic sequence aₙ=-10-3n.

Find the first 5 terms of the arithmetic sequence aₙ=10+3n.

Find the first 5 terms of the arithmetic sequence aₙ=8+5n.

Find the first 5 terms of the arithmetic sequence aₙ=-8-2n.

Find the explicit formula of an arithmetic sequence if a₁=3 and d=7.

Find the explicit formula of an arithmetic sequence if a₁=7 and d=3.

Find the explicit formula of an arithmetic sequence if a₁=5 and d=8.

Find the explicit formula of an arithmetic sequence if a₁=8 and d=5.

Find the missing terms of the arithmetic sequence: 10,,,,,__,40.

Find the missing terms of the arithmetic sequence: -17,,,,,__,-35.

An arithmetic sequence is defined by a common difference (d) between consecutive terms.

An arithmetic sequence with a common difference of d=4 includes the terms: -13, -9, -5, -1, 3.
An arithmetic sequence with a common difference of d=-4 features the terms: 13, 9, 5, 1, -3.

For the arithmetic sequence represented by aₙ=-10-3n, the first five terms are: -13, -16, -19, -22, -25.
The sequence aₙ=10+3n yields the first five terms: 13, 16, 19, 22, 25.
The sequence aₙ=8+5n gives the first five terms: 13, 18, 23, 28, 33.
In the case of aₙ=-8-2n, the first five terms are: -10, -12, -14, -16, -18.

The explicit formula for an arithmetic sequence starting with a₁=3 and a common difference of d=7 is aₙ=-4+7n.
For a sequence with a₁=7 and d=3, the formula is aₙ=4+3n.
If a₁=5 and d=8, the formula becomes aₙ=-3+8n.
For a₁=8 and d=5, the formula is aₙ=3+5n.

In the sequence 10, __, __, __, __, __, 40, the missing terms are: 15, 20, 25, 30, 35.
For the sequence -17, __, __, __, __, __, -35, the missing terms include: -20, -23, -26, -29, -32.