Finite and Infinite Geometric Series

What does the formula S = a₁/(1-r) give you?

• The finite sum of an arithmetic series.

• The infinite sum of a geometric series.

• The partial sum of a geometric series.

• The infinite sum of an arithmetic series.

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

• 1,600
• 18,235
• 18,475
• 19,125

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Determine the sum of the series written in Sigma Notation. 

• -341
• -279
• -250
• -431

Tags

CCSS.HSA.SSE.B.4

Determine if the series converges or diverges

• Converges
• Diverges

Determine if the series converges or diverges

• Converges
• Diverges

Evaluate the infinite series described: 

• No Sum
• 0
• -1/9
• -4/25

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

• -2186
• -2408
• 1
• -2703

Tags

CCSS.HSA.SSE.B.4

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

• 195
• 172
• 202
• 145

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series

• -25789

• 14236

• 25987

• 47236

• -39062

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

• 32,756

• 42,560

• 28,765

• 65,535