Answer :
To find the next number in the series [tex]\(78, 72, 66, 60, 54\)[/tex], we need to determine the pattern or rule that governs the sequence of numbers.
1. Identify the Pattern:
- Start by observing the differences between consecutive numbers in the series:
- Difference between 78 and 72 is [tex]\(78 - 72 = 6\)[/tex].
- Difference between 72 and 66 is [tex]\(72 - 66 = 6\)[/tex].
- Difference between 66 and 60 is [tex]\(66 - 60 = 6\)[/tex].
- Difference between 60 and 54 is [tex]\(60 - 54 = 6\)[/tex].
- We notice that each number in the series is obtained by subtracting 6 from the previous number.
2. Apply the Pattern:
- To find the next number in the series after 54, subtract 6 from 54:
- [tex]\(54 - 6 = 48\)[/tex].
Therefore, the next number in the series is [tex]\(48\)[/tex], and the correct option from the list provided is 48.
1. Identify the Pattern:
- Start by observing the differences between consecutive numbers in the series:
- Difference between 78 and 72 is [tex]\(78 - 72 = 6\)[/tex].
- Difference between 72 and 66 is [tex]\(72 - 66 = 6\)[/tex].
- Difference between 66 and 60 is [tex]\(66 - 60 = 6\)[/tex].
- Difference between 60 and 54 is [tex]\(60 - 54 = 6\)[/tex].
- We notice that each number in the series is obtained by subtracting 6 from the previous number.
2. Apply the Pattern:
- To find the next number in the series after 54, subtract 6 from 54:
- [tex]\(54 - 6 = 48\)[/tex].
Therefore, the next number in the series is [tex]\(48\)[/tex], and the correct option from the list provided is 48.
