What is the constant difference between the consecutive terms? a. $$ 3,5,7,9 $$ $$ \begin{array}{ll} ext { b. } 2,4,6,8\end{array} $$ $$ \begin{array}{ll} ext { c. } 9,6,3,0 \ ext { d. } 7,14,21,28 & ext { e, } 1,2,3,4\end{array} $$

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What is the constant difference between the consecutive terms? a. $$ 3,5,7,9 $$ $$ \begin{array}{ll}	ext { b. } 2,4,6,8\end{array} $$ $$ \begin{array}{ll}	ext { c. } 9,6,3,0 \ 	ext { d. } 7,14,21,28 & 	ext { e, } 1,2,3,4\end{array} $$

UpStudy AI · Accepted Answer

To find the constant difference between the consecutive terms in each sequence, we will subtract each term from the next term in the sequence. Let's analyze each option step by step.

### a. $$ 3, 5, 7, 9 $$
- Difference between 5 and 3: $$ 5 - 3 = 2 $$
- Difference between 7 and 5: $$ 7 - 5 = 2 $$
- Difference between 9 and 7: $$ 9 - 7 = 2 $$

**Constant difference: 2**

### b. $$ 2, 4, 6, 8 $$
- Difference between 4 and 2: $$ 4 - 2 = 2 $$
- Difference between 6 and 4: $$ 6 - 4 = 2 $$
- Difference between 8 and 6: $$ 8 - 6 = 2 $$

**Constant difference: 2**

### c. $$ 9, 6, 3, 0 $$
- Difference between 6 and 9: $$ 6 - 9 = -3 $$
- Difference between 3 and 6: $$ 3 - 6 = -3 $$
- Difference between 0 and 3: $$ 0 - 3 = -3 $$

**Constant difference: -3**

### d. $$ 7, 14, 21, 28 $$
- Difference between 14 and 7: $$ 14 - 7 = 7 $$
- Difference between 21 and 14: $$ 21 - 14 = 7 $$
- Difference between 28 and 21: $$ 28 - 21 = 7 $$

**Constant difference: 7**

### e. $$ 1, 2, 3, 4 $$
- Difference between 2 and 1: $$ 2 - 1 = 1 $$
- Difference between 3 and 2: $$ 3 - 2 = 1 $$
- Difference between 4 and 3: $$ 4 - 3 = 1 $$

**Constant difference: 1**

### Summary of Constant Differences:
- a. 2
- b. 2
- c. -3
- d. 7
- e. 1

Thus, the constant differences for each sequence are as follows:
- Sequences a and b have a constant difference of 2.
- Sequence c has a constant difference of -3.
- Sequence d has a constant difference of 7.
- Sequence e has a constant difference of 1.
- a. 2 - b. 2 - c. -3 - d. 7 - e. 1

What is the constant difference between the consecutive terms?
a.

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