Q. What is the next term of the arithmetic sequence? −1,0,1,
Identify sequence type: Identify the type of sequence.The sequence given is −1, 0, 1. We need to determine if it is arithmetic or geometric. Since the difference between consecutive terms is constant, the sequence is arithmetic.
Find common difference: Find the common difference in the arithmetic sequence.To find the common difference, subtract the first term from the second term: 0−(−1)=0+1=1. Then, subtract the second term from the third term: 1−0=1. The common difference is 1.
Calculate next term: Calculate the next term in the sequence.To find the next term, add the common difference to the last term given in the sequence: 1+1=2. The next term in the sequence is 2.