Find the Next Term in Arithmetic Sequence: -16, -22, -28, -34, ?

Question

16,22,28,34,? -16,-22,-28,-34,\text{?}

Video Solution

Solution Steps

00:00 Complete the next number in the sequence
00:05 Find all the numbers on the axis
00:15 Find the difference between each consecutive number
00:36 We can see that the difference is constant between each number
00:49 We'll use this difference to find the next number
01:15 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Confirm the pattern in the sequence by calculating differences between terms.
  • Step 2: Calculate the next term in the sequence using the identified pattern.

Let's analyze the sequence 16,22,28,34 -16, -22, -28, -34 :

Step 1: Calculate the difference between consecutive terms:
22(16)=6-22 - (-16) = -6
28(22)=6-28 - (-22) = -6
34(28)=6-34 - (-28) = -6
It is clear that the common difference, denoted as dd, is 6 -6 .

Step 2: Add the common difference to the last term to find the next number:
The last number is 34-34. Add the common difference d=6d = -6 to find the next term:
34+(6)=40-34 + (-6) = -40

Therefore, the next number in this sequence is 40-40.

Answer

40 -40