Geometric Series and Applications

Evaluate the geometric series below:
a₁ = -2, a_n = -1458, r = 3

• -2186
• -2408
• 1
• -2703

Evaluate the geometric series below:
a₁ = 4, a_n = 262144, r = 4

• 349524
• 341690
• 344023
• 338135

Evaluate the geometric series below:
-2 - 10 - 50 - 250..., S6

• -7812
• -9678
• -8686
• -9932

Evaluate the geometric series below:
4 - 8 - 16 - 32...,  S₇

• 195
• 172
• 202
• 145

Evaluate the geometric series below:
-1 -3 -9 - 27...,  S8

• -3280
• -3135
• -3323
• -3343

Evaluate the geometric series below:
4 + 20 + 100 + 500...,  S₇

• 88419
• 78124
• 91846
• 92234

Evaluate the geometric series below:
4 - 16 + 64 - 256...,  S9

• 223444
• 230679
• 204516
• 209716

Evaluate the geometric series below:
-4 - 8 - 16 - 32...,  S₆

• -253
• -252
• 4
• -235

A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct?

• 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64

• 4-2+1-1/2+1/4-1/8+1/16-1/32+1/64

• 4+2+1/2+1/4+1/8+1/16+1/32+1/64

• 4+2+1+1/2+1/4+1/16+1/64

Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.

• -2 - 8 - 32 - 128 - 512

• -2 + 8 - 32 + 128 - 512

• 2 + 8 + 32 + 128 + 512

• -2 + 8 + 32 - 128 + 512