Arithmetic and Geometric Sequences

Front

Dividing by a number is the same as multiplying by its reciprocal. What is the reciprocal of 12?

Back

1/12

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

What is the formula to find the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula to find the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the arithmetic sequence {5, 8, 11, 14, ...}?

Back

3

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio in the geometric sequence {3, 6, 12, 24, ...}?

Back

2

Tags

CCSS.HSF.BF.A.2

Front

Identify whether the sequence {1, 4, 9, 16, ...} is arithmetic, geometric, or neither.

Back

Neither (it's a sequence of perfect squares).

Tags

CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 10 and the common difference is -2, what is the 5th term?

Back

0

Tags

CCSS.HSF.BF.A.2

Front

If the first term of a geometric sequence is 2 and the common ratio is 3, what is the 4th term?

Back

54

Tags

CCSS.HSF.BF.A.2

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.

Front

What is the sum of the first n terms of a geometric sequence?

Back

S_n = a_1 * (1 - r^n) / (1 - r), for r ≠ 1.

Tags

CCSS.HSA.SSE.B.4