Solved on Dec 08, 2023

Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. $+8, \times 2$ , B. $+8,-2$ , C. $x 5,-2$ , D. $x 8,-4$ .

STEP 1

Assumptions
1. We are given a sequence: $2, 10, 8, 16, 14$ .
2. We need to find a rule that generates this pattern.
3. The options given are: A. $+8, \times 2$ B. $+8, -2$ C. $\times 5, -2$ D. $\times 8, -4$

STEP 2

We will analyze the pattern by looking at the differences or operations between consecutive terms.

STEP 3

First, we look at the difference between the first and second term.
$10 - 2 = 8$

STEP 4

Now, we look at the difference between the second and third term.
$8 - 10 = -2$

STEP 5

Next, we look at the difference between the third and fourth term.
$16 - 8 = 8$

STEP 6

Finally, we look at the difference between the fourth and fifth term.
$14 - 16 = -2$

STEP 7

We can see a pattern of adding 8 and then subtracting 2. This pattern repeats for the given sequence.

STEP 8

We compare this pattern with the given options. The rule that matches our findings is option B: $+8, -2$ .

STEP 9

Therefore, the expression that is a rule for the given pattern is $+8, -2$ .
The correct answer is option B.

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Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. $+8, \times 2$ , B. $+8,-2$ , C. $x 5,-2$ , D. $x 8,-4$ .

STEP 1

Assumptions
1. We are given a sequence: $2, 10, 8, 16, 14$ .
2. We need to find a rule that generates this pattern.
3. The options given are: A. $+8, \times 2$ B. $+8, -2$ C. $\times 5, -2$ D. $\times 8, -4$

STEP 2

We will analyze the pattern by looking at the differences or operations between consecutive terms.

STEP 3

First, we look at the difference between the first and second term.
$10 - 2 = 8$

STEP 4

Now, we look at the difference between the second and third term.
$8 - 10 = -2$

STEP 5

Next, we look at the difference between the third and fourth term.
$16 - 8 = 8$

STEP 6

Finally, we look at the difference between the fourth and fifth term.
$14 - 16 = -2$

STEP 7

We can see a pattern of adding 8 and then subtracting 2. This pattern repeats for the given sequence.

STEP 8

We compare this pattern with the given options. The rule that matches our findings is option B: $+8, -2$ .

STEP 9

Therefore, the expression that is a rule for the given pattern is $+8, -2$ .
The correct answer is option B.

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Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. +8,×2+8, \times 2+8,×2, B. +8,−2+8,-2+8,−2, C. x5,−2x 5,-2x5,−2, D. x8,−4x 8,-4x8,−4.

STEP 1

Assumptions1. We are given a sequence: 2,10,8,16,142, 10, 8, 16, 142,10,8,16,14.2. We need to find a rule that generates this pattern.3. The options given are: A. +8,×2+8, \times 2+8,×2 B. +8,−2+8, -2+8,−2 C. ×5,−2\times 5, -2×5,−2 D. ×8,−4\times 8, -4×8,−4

STEP 2

We will analyze the pattern by looking at the differences or operations between consecutive terms.

STEP 3

First, we look at the difference between the first and second term.10−2=810 - 2 = 810−2=8

STEP 4

Now, we look at the difference between the second and third term.8−10=−28 - 10 = -28−10=−2

STEP 5

Next, we look at the difference between the third and fourth term.16−8=816 - 8 = 816−8=8

STEP 6

Finally, we look at the difference between the fourth and fifth term.14−16=−214 - 16 = -214−16=−2

STEP 7

We can see a pattern of adding 8 and then subtracting 2. This pattern repeats for the given sequence.

STEP 8

We compare this pattern with the given options. The rule that matches our findings is option B: +8,−2+8, -2+8,−2.

STEP 9

Therefore, the expression that is a rule for the given pattern is +8,−2+8, -2+8,−2.The correct answer is option B.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. $+8, \times 2$ , B. $+8,-2$ , C. $x 5,-2$ , D. $x 8,-4$ .

Assumptions
1. We are given a sequence: $2, 10, 8, 16, 14$ .
2. We need to find a rule that generates this pattern.
3. The options given are: A. $+8, \times 2$ B. $+8, -2$ C. $\times 5, -2$ D. $\times 8, -4$

First, we look at the difference between the first and second term.
$10 - 2 = 8$

Now, we look at the difference between the second and third term.
$8 - 10 = -2$

Next, we look at the difference between the third and fourth term.
$16 - 8 = 8$

Finally, we look at the difference between the fourth and fifth term.
$14 - 16 = -2$

We compare this pattern with the given options. The rule that matches our findings is option B: $+8, -2$ .

Therefore, the expression that is a rule for the given pattern is $+8, -2$ .
The correct answer is option B.