Answer:
Common difference = 11
Second term is -1
fourth term is 21
Step-by-step explanation:
Given:
The given sequence are.
-12, __, 10, __, 32, 43
We need to find common difference and missing terms of the given sequence.
Solution:
The difference between two consecutive number of the sequence is called common difference.
The consecutive number of the given series are 32, 43
So, the common difference is
[tex]common\ difference = 43-32[/tex]
common difference = 11
Therefore, the common difference of the given series is 11.
Now, we add first term and common difference for the first missing number of the sequence.
= -12 +11
= -1
So, the second term of the given sequence is -1.
Similarly, we add third term and common difference for the fourth missing number of the sequence.
= 10 + 11
= 21
So, the fourth term of the given sequence is 21.
Therefore, the complete sequence is given below.
-12, -1, 10, 21, 32, 43
