Arithmetic Sequences Problem Solving

Find the 25th term of the sequence if t₁ = 5 and d = 0.5

[hint: write an explicit formula first, then find the 25th term!]

• 18

• 17

• 15

• 14

Find the common difference and the next 3 terms in the sequence; -14,-5, 4, 13

• d = 13; 26, 39, 52

• d = 4; 17, 21, 25

• d = -14; -1, -15, -30

• d = 9; 22, 31, 40

What is the 15th term of the sequence t_n = -3n+50

• 95

• -5

• 5

• -95

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216
• -148
• -146
• -150

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

• -515
• -490
• -535
• 460

Given the following sequence, write a formula to determine the nth term.
-16, -11, -6, -1, 4

• a_n = 5(n - 1) -16
• a_n = -5(n - 1) +16
• a_n = -16(n - 1) -5
• a_n = 16(n - 1) -4

Given the following sequence, write a formula to determine the nth term.
12, 23, 34, 45, 56

• a_n = 5(n - 1) -56
• a_n = -5(n - 1) -12
• a_n = 11(n - 1) +12
• a_n = 11(n) + 12

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25