Answer:
7580
Step-by-step explanation:
The formula for the sum of an arithmatic sequence is
,
where n = total number of terms (in this case 40)
= the first term (in this case 14)
and 
= the last term (we will need to find this)
to find the last term, we can use this formula:
where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)
thus, 
= 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365
plug this back into the first formula to get
Σ = 
(14 + 365) = 20(379) = 7580
Answer:
Step-by-step explanation:
Answer:
a = -2
Step-by-step explanation:
g(x) = 3/2x + 3
g(a) = 0
g(a) = 3/2a +3 =0
Subtract 3 from each side
3/2a +3-3=0-3
3/2a = -3
Multiply each side by 2/3
2/3 * 3/2a = -3*2/3
a = -2
1 gal 2 qts 3 pts
1 gal 3 qts 7 pts
1 gal 3 qts 3 pts
---------------------------add
3 gal 8 qts 13 pts
1 pt = 0.5 qts...so 12 pts = 12* 0.5 = 6...so now we have :
3 gal 14 qts 1 pt
1 qt = 0.25 gal..so 12 qts = 12 * 0.25 = 3 gallons...so now we have :
6 gal 2 qts 1 pt <===
