Step-by-step explanation:
the answer is in the image above
First we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.
we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201
now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms
Answer:
y= 250( 1-0.21)^x
Step-by-step explanation:
This represents exponential decay
Answer:
5x + 15
Step-by-step explanation:
To expand the binomial, you need to multiply each term inside the parentheses by 5.
(x + 3)5
= (x * 5) + (3 * 5)
= 5x + 15
Answer:
63.5 feet/minute
Step-by-step explanation:
She first descended 1,024 feet in 17 minutes
Then she descended 500 feet in 7 minutes
The total feet descended is 1,024 + 500 = 1,524 feet
The total time to descend is 17 + 7 = 24 minutes
The average rate of change in altitude is
Altitude descended / time
1,524 feet / 24 minutes
63.5 feet /minute
