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Delicious77 [7]
3 years ago
9

2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

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Step-by-step explanation:

The parent function is given as:

f(x) = x + 8

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

g(x) = f(x - 2)

We replace x by x-2 in f(x) to get:

g(x) = x - 2 + 8

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3 years ago
Which of the following could be true if y ≤ -75?
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Step-by-step explanation: When you are in the megatives, less is more! So -74 is actually greater then -75

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Find the midpoint of the line segment shown below.
balu736 [363]

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Step-by-step explanation:

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Read 2 more answers
Aaron invested $740 in an account paying an interest rate of 5%
vlada-n [284]

The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

Find out more about continuous compounding on:brainly.com/question/23136156

#SPJ1

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