In the pattern 5, 9, 13,A, 21, B the value of A and B respectively are____and____a.15 and 23b.14 and 22c.17 and 25d.16 and 24
Question
In the pattern 5, 9, 13, A, 21, B the value of A and B respectively are:
- a. 15 and 23
- b. 14 and 22
- c. 17 and 25
- d. 16 and 24
Solution
This pattern appears to be an arithmetic sequence, where each number increases by a constant difference.
Step 1: Identify the common difference in the sequence. The difference between 9 and 5 is 4. The difference between 13 and 9 is also 4. So, the common difference is 4.
Step 2: Find the value of A. To find the value of A, add the common difference to the previous term in the sequence. So, A = 13 + 4 = 17.
Step 3: Find the value of B. To find the value of B, add the common difference to the previous term in the sequence. So, B = 21 + 4 = 25.
So, the values of A and B are 17 and 25 respectively. Therefore, the correct answer is c.17 and 25.
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