Question

.

Answer 1

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

$common\ difference = 43-32$

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