What is the sum of a 10–term arithmetic sequence where the first term is 3 and the last term is 75?
10*(3+75)/2
IT IS CORRECT!
To find the sum of a 10-term arithmetic sequence, you can use the formula:
Sum = (n/2) * (first term + last term)
Where:
- Sum is the sum of the sequence,
- n is the number of terms in the sequence,
- first term is the value of the first term in the sequence, and
- last term is the value of the last term in the sequence.
In this case, the first term is 3, the last term is 75, and the number of terms is 10.
Substituting these values into the formula, we get:
Sum = (10/2) * (3 + 75)
= 5 * 78
= 390
Therefore, the sum of the 10-term arithmetic sequence is 390.