The 10th term of the arithmetic progression 5, 9, 13 is 41.
To find the 10th term of an arithmetic progression, we can use the following formula:
an = a1 + (n - 1)d
Where:
- an is the nth term we want to find.
- a1 is the first term of the arithmetic progression.
- n is the term number we want to find.
- d is the common difference between consecutive terms.
In this case:
- a1 = 5
- n = 10
- d = 9 - 5 = 4
Substituting these values into the formula:
a10 = 5 + (10 - 1) 4
a10 = 5 + (9) 4
a10 = 5 + 36
a10 = 41
Therefore, the 10th term of the arithmetic progression is indeed 41, as confirmed by a previous response stating, "hence the 10th term of the ap is 41...".