Questions: Identify the type of sequence Match the sequence to the type of property it presents Matching · 3 points a. ak=2,3,3,4,5,6,7,7 Choose an answer b. bk=6,5,3,2,1,0,-2,-3 Choose an answer c. ck=7,4,8,3,2,5,4,2 Choose an answer d. dk=7,5,5,4,3,2,2,1 Choose an answer e. ek=-6,-4,-2,0,1,2,3,5 Choose an answer

Identify the type of sequence
Match the sequence to the type of property it presents
Matching · 3 points
a. ak=2,3,3,4,5,6,7,7

Choose an answer
b. bk=6,5,3,2,1,0,-2,-3

Choose an answer
c. ck=7,4,8,3,2,5,4,2

Choose an answer
d. dk=7,5,5,4,3,2,2,1

Choose an answer
e. ek=-6,-4,-2,0,1,2,3,5

Choose an answer

Transcript text: Identify the type of sequence Match the sequence to the type of property it presents Matching $\cdot 3$ points a. $\left\{a_{k}\right\}=2,3,3,4,5,6,7,7$ Choose an answer b. $\left\{b_{k}\right\}=6,5,3,2,1,0,-2,-3$ Choose an answer c. $\left\{c_{k}\right\}=7,4,8,3,2,5,4,2$ Choose an answer d. $\left\{d_{k}\right\}=7,5,5,4,3,2,2,1$ Choose an answer e. $\left\{e_{k}\right\}=-6,-4,-2,0,1,2,3,5$ Choose an answer

Solution

Solution Steps

To identify the type of sequence, we need to analyze the pattern of each sequence. We will check if the sequence is arithmetic, geometric, or neither by examining the differences or ratios between consecutive terms.

Solution Approach

For each sequence, calculate the differences between consecutive terms.
Check if the differences are constant (arithmetic sequence) or if the ratios are constant (geometric sequence).
If neither, classify the sequence as neither arithmetic nor geometric.

Step 1: Analyze Sequence $ \{a_k\} $

The sequence $ \{a_k\} = \{2, 3, 3, 4, 5, 6, 7, 7\} $ has differences of $ 1, 0, 1, 1, 1, 1, 0 $. Since the differences are not constant, it is classified as "Neither".

Step 2: Analyze Sequence $ \{b_k\} $

The sequence $ \{b_k\} = \{6, 5, 3, 2, 1, 0, -2, -3\} $ has differences of $ -1, -2, -1, -1, -1, -2, -1 $. The differences are not constant, so it is classified as "Neither".

Step 3: Analyze Sequence $ \{c_k\} $

The sequence $ \{c_k\} = \{7, 4, 8, 3, 2, 5, 4, 2\} $ has differences of $ -3, 4, -5, -1, 3, -1, -2 $. The differences are not constant, thus it is classified as "Neither".

Step 4: Analyze Sequence $ \{d_k\} $

The sequence $ \{d_k\} = \{7, 5, 5, 4, 3, 2, 2, 1\} $ has differences of $ -2, 0, -1, -1, -1, 0, -1 $. The differences are not constant, so it is classified as "Neither".

Step 5: Analyze Sequence $ \{e_k\} $

The sequence $ \{e_k\} = \{-6, -4, -2, 0, 1, 2, 3, 5\} $ has differences of $ 2, 2, 2, 1, 1, 1, 2 $. The differences are not constant, thus it is classified as "Neither".