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jek_recluse [69]
2 years ago
13

Find the nth term for 27 37 47​

Mathematics
2 answers:
Law Incorporation [45]2 years ago
8 0

Answer:

107

Step-by-step explanation:

The pattern is +10

Your finding the 9 term to your going +10 9 times from 27. Which simplifies to +80.

27 + 90 = 107

Sophie [7]2 years ago
6 0

Answer:

107

Step-by-step explanation:

27+10=37+10=47+10=57+10=67+10=77+10=87+10=97+10=107+10=117+10=127

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
How do I do this problem???
Andreas93 [3]
A. there are 72 right-handed batters. this is what you do:
5:8
45:?
45/5=9
8*9=72 so
45:72 
b. there are 45 left-handed batters
the total batters is 45+72=117
so the ratio of left-handed to the total batter would be 45:117
hope this helps :)

4 0
3 years ago
Angie mows lawns in her neighborhood to make money. She charges $25 per lawn and buys a new mower for $200. If x is the number o
natali 33 [55]

Answer: Angie's profit equation is 25x−200=p

Step-by-step explanation:

Let x represent the number of lawns that Angie mows in her neighborhood.

Let p represent the profit made by mowing x lawns.

Profit = Revenue - cost

She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x

So her revenue is 25x

She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as

p = 25x - 200

7 0
3 years ago
Do you line plots display individual data
tino4ka555 [31]
Yes they do, in the grand aspect of things.
5 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
MAVERICK [17]

Answer:

(-2,-5)

Step-by-step explanation:

y = 2x-1

3x-y = -1

We can use substitution

3x - (2x-1) = -1

Distribute the minus sign

3x -2x+1 = -1

x +1 =-1

Subtract 1 from each side

x+1-1 = -1-1

x=-2

Now we need to find y

y = 2x-1

y = 2(-2) -1

y = -4-1

y = -5

(-2,-5)

3 0
3 years ago
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