Sequences Test

Write the first 5 terms of the sequence: an arithmetic sequence with a common difference of -0.4 and a first term of 0.7.

0.7, 0.3, -0.1, -0.5, -0.9 are the first 5 terms of this sequence.

Write the first 5 terms of the sequence: a geometric sequence with a common ratio of 3 and a first term of 1.

1, 3, 9, 27, 81 are the first 5 terms of this sequence.

In her first week of gym training, Consuela can do 25 sit-ups per minute. During week 2, she can do 29 sit-ups. By week 3, she is up to 33 sit-ups. If this pattern continues, represent the number of sit-ups she does per minute for the first 5 weeks of training as a numeric sequence.

25, 29, 33, 37, 41 is the numeric sequence. By week 5, Consuela can do 41 sit-ups per minute.

What is a numeric sequence to represent the first 5 sequences?

3, 5, 7, 9, 11 is a numeric sequence that represents the 5 figures.

For each sequence, write a recursive formula. The sequence is 2/5, 6/5, 18/5, 54/5, 162/5.

A recursive formula is g(n)=g(n-1) times 3.

For each sequence, write an explicit formula. The sequence is 10.2, 2.2, -5.8, -13.8, -21.8.

An explicit formula is a(n)=10.2-8(n-1).

For each sequence write an explicit formula. The sequence is 1, -10, 100, -1,000, 10,000.

An explicit formula is g(n)=1 times (-10) to the nth power-1.

Tell whether each graph represents an arithmetic sequence or a geometric sequence. The graph is linear.

Arithmetic sequence because the graph is linear.

Tell whether each graph represents an arithmetic sequence or a geometric sequence. The graph starts out at the very bottom and shoots upward.

Geometric sequence because the graph has an exponential function.

Represent the sequence 25, 29, 33, 37, 41 using a table of values.

Left box: weeks, 1, 2, 3, 4, 5 Right box: sit-ups, 25, 29, 33, 37, 41.

Determine the number of sides of the 100th figure in the same pattern.

The 100th figure will have 201 sides.

Determine the number of sides of the 10th figure in the pattern. (3,5,7,9,11......)

The 10th figure will have 21 sides.

Determine the 25th term in the sequence defined by a(n)=8+2(n-1).

The 25th term is 56.

Determine the 50th term in the sequence defined by a(n)= -11+5(n-1).

The 50th term is 234.

Determine the 6th term in the sequence defined by g(n)=4 times 0.1 to the nth power - 1.

The 6th term is 0.00004.

Determine the 7th term in the sequence defined by g(n)=2 times (1/2)n-1.

The 7th term of the sequence is 1/32.

Describe the domain and range of the sequence 25, 29, 33, 37, 41.

The domain is all positive integers. The range is every 4th integer starting at 25.

What are the next two terms in the sequence? The sequence is 3, 5, 7,...

The next two terms are 9 and 11.

The sequence is 3, 5, 7.... describe the pattern

The pattern is arithmetic with a common difference of 2, meaning each figure has 2 more sides than the previous figure.

Identify if the sequence is arithmetic or geometric. Then determine the common difference or common ratio. The sequence is 4, -5, -14, -23, -32.

The sequence is arithmetic with a common difference of -9.

Identify if the sequence is arithmetic or geometric. Then determine the common difference or common ratio. The sequence is 40, 8, 1.6, 0.32, 0.064.

The sequence is geometric with a common ratio of 1/5.

Write an explicit formula for the sequence. (3,5,7,...)

a(n)=3+2(n-1)

Write a recursive formula for the sequence. (3,5,7,...)

a(n)=a(n-1)+2