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SSSSS [86.1K]
3 years ago
8

What is the sum of the first 100 terms of the arithmetic sequence 2, 7, 12, 17?

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

25452

Step-by-step explanation:

each term goes up by 5 so the formula is 2+5(n-1) where n is the term number

so the equation is ∑n=1 101 (2+5(n-1))

∑n=1 101 (5n-3) = 25452

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NNADVOKAT [17]
10.50/5=2.10
2.10*4=8.40
She used to earn $8.50/hr
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3 years ago
Find the volume of a rectange 9 in., 3 in., 6 in.
aleksley [76]
V= length x width x height.
9 x 3 x 6 =162
162 inches cubed!
4 0
3 years ago
Read 2 more answers
katie bought 4 sweaters that each cost the same amount and 1 skirt that costs 20$. The items she bought cost a total of 160$ bef
Alika [10]
Hello, in order to solve this you first need to take $20 subtracted from 160 that leaves you with 140 next because she bought 4 sweaters you need to divide your remaining cash spent by 4 to get a total of $35 a sweater.

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8 0
3 years ago
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for tha
Alborosie

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

7 0
3 years ago
Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of
cupoosta [38]

Answer:

Ted will need 3\frac{3}{4} cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

       x cups of pretzels to make 15 trail mix

Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = 3\frac{3}{4} cups.

<u>Ted will need </u>3\frac{3}{4}<u> cups of pretzels to make 15 cups of trail mix.</u>

4 0
3 years ago
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