Answer :
To find the next term in the sequence -5, 0, 10, 25, 45, we need to look at the pattern of differences between consecutive terms:
1. Start by calculating the differences between consecutive terms in the sequence:
- The difference between the 1st and 2nd terms: 0 - (-5) = 5
- The difference between the 2nd and 3rd terms: 10 - 0 = 10
- The difference between the 3rd and 4th terms: 25 - 10 = 15
- The difference between the 4th and 5th terms: 45 - 25 = 20
2. Notice that these differences themselves form a pattern: 5, 10, 15, 20. These differences increase by 5 each time.
3. Following this pattern, the next difference should be 25 (since 20 + 5 = 25).
4. To find the next term in the sequence, add this next difference of 25 to the last term, 45:
- Next term = 45 + 25 = 70
Therefore, the next term in the sequence is 70. So the answer is D) 70.
1. Start by calculating the differences between consecutive terms in the sequence:
- The difference between the 1st and 2nd terms: 0 - (-5) = 5
- The difference between the 2nd and 3rd terms: 10 - 0 = 10
- The difference between the 3rd and 4th terms: 25 - 10 = 15
- The difference between the 4th and 5th terms: 45 - 25 = 20
2. Notice that these differences themselves form a pattern: 5, 10, 15, 20. These differences increase by 5 each time.
3. Following this pattern, the next difference should be 25 (since 20 + 5 = 25).
4. To find the next term in the sequence, add this next difference of 25 to the last term, 45:
- Next term = 45 + 25 = 70
Therefore, the next term in the sequence is 70. So the answer is D) 70.
