Sequences and Series Geometric

Find the sum of the infinite geometric series:

200 - 100 + 50 - 25 + ...

• 525 / 2

• 400 / 3

• 3 / 400

• 2 / 525

Is the sequence -432, 72, -12, 2,...geometric?

• yes

• no

Tags

CCSS.HSF.BF.A.2

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

Find the first 6 terms of the sequence

• 1, 2, 6, 18, 54, 162

• 2, 6, 18, 54, 162, 486

• -2, -6, -18, -54, -162, -486

• -2, 1, 4, 7, 10, 13

Tags

CCSS.HSF.BF.A.2

Write the formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

• initial value

• increment

• starting point

• change rate

• common ratio

• opens up/down

• distance

• slope

• first term

• common difference

Tags

CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

Tags

CCSS.HSF.BF.A.2

• -585

• 585

• -21,845

• 21,845

Tags

CCSS.HSA.SSE.B.4