Algebra 2 B Arithmetic series 5 Questions

what is the sum of the finite arithmetic series 26+29+32+35+38+41+44

3 answers

To find the sum of a finite arithmetic series, you can use the formula:

S_n = n/2 * [2a + (n-1)d]

where:

- S_n is the sum of the first n terms
- a is the first term
- d is the common difference between terms
- n is the number of terms

In this case, a=26, d=3 (we can see that each term is increased by 3 from the previous term), and there are 7 terms. So we can plug these values into the formula:

S_7 = 7/2 * [2(26) + (7-1)(3)]
S_7 = 7/2 * [52 + 18]
S_7 = 7/2 * 70
S_7 = 245

Therefore, the sum of the finite arithmetic series is 245.
1.b 245
2.b
3.b
4.c
5.a 26
A Human is correct!