−15,−17,−19,−21,?
To solve this problem, we'll follow these steps:
- Step 1: Identify the pattern in the sequence.
- Step 2: Calculate the common difference.
- Step 3: Use the common difference to find the next term in the sequence.
Step 1: Look at the given sequence: −15,−17,−19,−21.
To find the common difference, we can subtract each term from the next one. For example, the difference between −15 and −17 is:
−17−(−15)=−17+15=−2
Similarly, between −17 and −19, and −19 and −21, we have:
−19−(−17)=−2
−21−(−19)=−2
Step 2: We have determined that the common difference d is −2.
Step 3: To find the next term, subtract the common difference from the last term: −21−2=−23.
Therefore, the next number in the sequence is −23.