1st Nine Weeks Exam - Algebra 3

Find the exact value of sin 2x if sin x = 12/13 and x is in the first quadrant. 

• 120/169
• 25/169
• 60/169
• 5/13

Use Sum or Difference Identities to find the exact value of each expression.

cos(75°)

• 1/4

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• 
• 

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n = 6n + 2

• a_n = 6n - 6

• a_n = 6n - 4

• a_n = -6n + 4

Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S₁₀

• -160
• -328
• -320
• -336

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190
• 165, 185, 195
• 155, 165, 175
• 190, 175, 160

• 11,718

• 10,603

• 9,769

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1