Arithmetic and Geometric Sequence Series Summation

What are the next three terms of the arithmetic sequence below?

Tags

CCSS.HSF.BF.A.2

The first four terms of a sequence are plotted on the given graph, where x represents the position in the sequence and y represents the actual terms of the sequence. Which of the following statements can be supported by the graph of this sequence?

• The rate of change between the y-values of consecutive terms is a constant

• The sequence is neither arithmetic or geometric.

• The sequence is geometric and has a decay factor of 1/9

• The sequence is arithmetic and has a common difference of -9.

The sum of the first n terms of an arithmetic series is -85.5. The first term of the series is -27/3 and the common difference is 1/2. How many terms are in the series?

• 16

• 17

• 18

• 20

What is the sum of the first 35 terms in an arithmetic series with the first term 18, common difference -12?

• 770

• 775

• 870

• 875

Find the sum of the first 15 terms in a geometric series with the first term 81, 920 and the ratio 1/2.

• 32/3

• 5

• 18

• 1589/3

Tags

CCSS.HSA.SSE.B.4

Find the sum of the first 20 terms in a geometric series with the first term 9 and the common ratio -1.

• -20

• 20

• 15

• 415/2

Tags

CCSS.HSA.SSE.B.4

Find the sum of the following series

2+4/3+8/9+16/27+ ...

• So sum

• 6

• -6

Expand the summation.

• -1800

• -1818

• -1825

• -1795