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# Finding the next terms of an arithmetic sequence with whole numbers

Following quiz provides Multiple Choice Questions (MCQs) related to **Finding the next terms of an arithmetic sequence with whole numbers**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

**Q 1 - The first three terms of an arithmetic sequence are 34, 23, and 12. Find the next two terms of this sequence.**

### Answer : C

### Explanation

**Step 1:**

Given the arithmetic sequence 34, 23 and 12.

The common difference is 23 −34 = 12 −23 = −11

**Step 2:**

The next two terms in the sequence are 12 −11 and 1 −11 or 1 and −10

So the answer is 1 and −10

**Q 2 - The first three terms of an arithmetic sequence are 8, 20, and 32. Find the next two terms of this sequence.**

### Answer : B

### Explanation

**Step 1:**

Given the arithmetic sequence 8, 20 and 32.

The common difference is 20 −8 = 32 −20 = 12

**Step 2:**

The next two terms in the sequence are 32 + 12 and 44 + 12 or 44 and 56

So the answer is 44 and 56

**Q 3 - The first three terms of an arithmetic sequence are 21, 25, and 29. Find the next two terms of this sequence.**

### Answer : A

### Explanation

**Step 1:**

Given the arithmetic sequence 21, 25 and 29.

The common difference is 25 −21 = 29 −25 = 4

**Step 2:**

The next two terms in the sequence are 29 + 4 and 33 + 4 or 33 and 37

So the answer is 33 and 37

**Q 4 - The first three terms of an arithmetic sequence are 27, 40, and 53. Find the next two terms of this sequence.**

### Answer : D

### Explanation

**Step 1:**

Given the arithmetic sequence 27, 40 and 53.

The common difference is 40 −27 = 53 − 40 = 13

**Step 2:**

The next two terms in the sequence are 53 + 13 and 66 + 13 or 66 and 79

So the answer is 66 and 79

**Q 5 - The first three terms of an arithmetic sequence are 13, 18, and 23. Find the next two terms of this sequence.**

### Answer : B

### Explanation

**Step 1:**

Given the arithmetic sequence 13, 18 and 23.

The common difference is 18 −13 = 23 −18 = 5

**Step 2:**

The next two terms in the sequence are 23 + 5 and 28 + 5 or 28 and 33

So the answer is 28 and 33

**Q 6 - The first three terms of an arithmetic sequence are −20, −10, and 0. Find the next two terms of this sequence.**

### Answer : A

### Explanation

**Step 1:**

Given the arithmetic sequence −20, −10 and 0.

The common difference is −10 – (−20) = 0 –(−10) = 10

**Step 2:**

The next two terms in the sequence are 0 + 10 and 10 + 10 or 10 and 20

So the answer is 10 and 20

**Q 7 - The first three terms of an arithmetic sequence are −11, −6, and −1. Find the next two terms of this sequence.**

### Answer : D

### Explanation

**Step 1:**

Given the arithmetic sequence −11, −6 and −1.

The common difference is −6 –(−11) = −1 –(−6) = 5

**Step 2:**

The next two terms in the sequence are −1+ 5 and 4 + 5 or 4 and 9

So the answer is 4 and 9

**Q 8 - The first three terms of an arithmetic sequence are 38, 32, and 26. Find the next two terms of this sequence.**

### Answer : C

### Explanation

**Step 1:**

Given the arithmetic sequence 38, 32 and 26.

The common difference is 32 − 38 = 26 −32 = −6

**Step 2:**

The next two terms in the sequence are 26 − 6 and 20 − 6 or 20 and 14

So the answer is 20 and 14

**Q 9 - The first three terms of an arithmetic sequence are 11, 4, and −3. Find the next two terms of this sequence.**

### Answer : A

### Explanation

**Step 1:**

Given the arithmetic sequence 11, 4 and −3.

The common difference is 4 −11 = −3 − 4 = −7

**Step 2:**

The next two terms in the sequence are −3 −7 and −10 −7 or −10 and −17

So the answer is −10 and −17

**Q 10 - The first three terms of an arithmetic sequence are 47, 39, and 31. Find the next two terms of this sequence.**

### Answer : C

### Explanation

**Step 1:**

Given the arithmetic sequence 47, 39 and 31.

The common difference is 39 −47 = 31 −39 = −8

**Step 2:**

The next two terms in the sequence are 31 − 8 and 23 − 8 or 23 and 15

So the answer is 23 and 15