Answer:
8. 5050
9. 2550
10. 44550
Step-by-step explanation:
8. Use the formula for the sum of arithmetic series.
Sn = (n/2) (a1+an)
S100 = (100/2) (1+100)
S100 = 5050
9. Use the same formula. However, since only even numbers are considered, the first term is 2, and there are only 50 terms.
Sn = (n/2) (a1+an)
S50 = (50/2)(2+100)
S50 = 2550
10. Use the formula:
Sn= (n/2) (2a1 +(n-1)d)
To know the value of n, determine how many multiples of 3 are there between 300 and 600.
(600-300)/3 -1 =99
S99 = (99/2)(2(303)+(99-1)(3))
S99 = 44550
