Q. What is the next term of the arithmetic sequence?1,3,5,7,9,
Identify the pattern: Identify the pattern in the sequence.The sequence given is 1,3,5,7,9. We can observe that each term increases by 2.
Determine if arithmetic: Determine if the sequence is arithmetic.Since each term increases by a constant amount, this is an arithmetic sequence.
Calculate common difference: Calculate the common difference of the sequence.The difference between consecutive terms is 3−1=2, 5−3=2, and so on.Common Difference: 2
Find next term: Find the next term in the sequence.The last term given is 9. To find the next term, add the common difference to the last term: 9+2=11.