In a sequence of numbers, the first three terms are given as follows: 3, 8, and 15. Each term increases by a certain amount, which is also increasing by an additional fixed amount. What is the next term in this sequence?
To identify the pattern, observe the differences between consecutive terms:
First term: 3
Second term: 8
Third term: 15
Now calculate the differences:
$8 - 3 = 5$
$15 - 8 = 7$
The differences are: 5 and 7.
Can you find the pattern for the next term using this information?