Sequences Review

What is the sum of the sequence {integers from 8 to 25 inclusive}.

• 280.5
• 153
• 297
• 594

Determine if the sequence is arithmetic, geometric, or neither.
–4, –8, –16, –32, ...

• Arithmetic
• Geometric
• Neither

Determine if the sequence is arithmetic, geometric, or neither.
13, 20, 27, 34, ...

• Arithmetic
• Geometric
• Neither

The sequence below is an arithmetic sequence. Find the common difference.
–5, –9, –13, –17, ...

• 4
• –4
• 13
• 1.8

Find the next three terms in the sequence.
–21, –15, –9, ...

• 3, 9, 15
• 0, 6, 12
• –3, 3, 9
• -3, 6, 12

Which equation represents the sequence {24, 17, 10, ...}?

• T = 7n + 24
• T = –7n + 24
• T = –7n – 24
• T = 24n – 7

Which equation will find the n^th term of an arithmetic sequence?

• a_n = a₁ + (n - 1)d

• a_n = a₁ + (n + 1)d

• a_n = d + (n - 1)a₁

• a_n = a₁(n - 1)d

Write the explicit formula for the n^th term of the arithmetic sequence.

7, 13, 19, 25, ...

• a_n = a_n-1 + 7

• a_n = a_n-1 + 6

• a_n = 7 + (n – 1)6

• a_n = –6 + (n – 1)7

What formula can be used to find the sum of a sequence?

• (a₁ + a_n)n / 2
• (a₁ + a_n)n / d
• (a₁ + a_n)d / 2
• (a₁ + a_n)2 / n

What is the sum of the sequence {multiples of 3 from 0 to 99 inclusive}.
Hint: {0, 3, 6, ..., 99}

• 1,683
• 3,366
• 34
• 1,122