Sequence [tex]7, 18, 29, 40, .......[/tex] are in Arithmetic progression.
The next term in the sequence is 51.
Given sequence:
[tex]7, 18, 29, 40, .......[/tex]
By taking the difference between two adjacent numbers in the sequence, we can see that the common difference is same.
[tex]18-7=11\\29-18=11\\40-29=11[/tex]
You will notice that each time you move from one number to the very next one, it increases by 11. That is, the difference between one number and the next is 11.
Therefore, we can add 11 to 40 and the result will be 51.
Fore more information:
https://brainly.com/question/14014034
