Arithmetic and Geometric Sequences and Series

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

For n = 1,2,3 . . .the explicit formula,
 a_n = (-3)ⁿ  + 4, will produce the sequence:

• {1, 13, -23, 85. . .}
• {1, -5, -23, -77. . .}
• {1, -2, -5, -8...}
• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

• 149
• 11,200
• 5,600
• 140

The next two terms of the sequence 8,4,2,1, 1/2 are

• 1/3 and 1/4
• 1/4 and 1/8
• 1/8 and 1/6
• 1/5 and 1/7

Tags

CCSS.HSF.BF.A.2

Find the indicated sum for the geometric series.
S₆ for (-4/5) + 8 + (-80) + 800 + ....

• _S6 = 21,845
• _S6 = 72,000
• _S6 = 72,727.2
• _S6 = -128,840.8

Tags

CCSS.HSA.SSE.B.4

What is the explicit rule for the sequence:
11, 22, 44, 88...

• _gn = 2(11)^n-1
• _gn = 11x2
• _gn = 11(2)^n-1
• g_n = 11+(2)^n-1

Tags

CCSS.HSF.LE.A.2

Find the 13th term: 
2, 6, 18, 54, ….

• 1,000,000
• 1,062,882
• 123,587
• 5 bazillion

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280
• 6480, -38880, 233280
• 5184, -31104, 186624
• 3888, -23328, 139968

Tags

CCSS.HSF.BF.A.2