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Alja [10]
3 years ago
5

For the sequence

alt="a_{n} = 2n/(n+1)" align="absmiddle" class="latex-formula">, what is the value of a_{10}
Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0

Answer:

a_{10}=\frac{20}{11}


Step-by-step explanation:

The formula for nth term of a the sequence is given as  a_n=\frac{2n}{n+1}


<u>Finding the 10th term means finding  a_{10}, which means to plug in 10 into n, in the nth term formula.</u>

a_{10}=\frac{2(10)}{(10)+1}=\frac{20}{11}

Andrew [12]3 years ago
5 0

<u>Answer:</u>

330

<u>Step-by-step explanation:</u>

We are given the following arithematic sequence and we are to find the 10th term in this sequence:

a_n = \frac {2n} {( n + 1 )}

where n is the number of the term.

To find the 10th term, we will simply substitute '10' in place of n in the above given formula:

a_n = \frac {2n} {( n + 1 )}

a_{10} = \frac {2(10)} {( 10 + 1 )} =30(11) = 330

Therefore, the 10th term of this sequence is 330.

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Which values of x are solutions of the equation below
Mandarinka [93]

Answer:

x = 3.3 and -0.3

Step-by-step explanation:

Given the expression

1/x-4 + x/x-2=2/x^2-6x+8

Find the LCM

x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8

Since the denominator, are the same they cancels out

x +1 + x(x-4) = 2

x+1 + x²-4x = 2

x²-3x + 1 - 2 = 0

x² - 3x - 1 = 0

Factorize

x =3±√9+4/2

x =3±√13/2

x = 3±3.6/2

x= 6.6/2 and -0.6/2

x = 3.3 and -0.3

4 0
3 years ago
Brian invests £1300 into his bank account.
raketka [301]

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

3 0
3 years ago
Can you Help me please
Evgen [1.6K]

Answer:

-1

Step-by-step explanation:

mn = -3 because 3 × -1 = -3

p^2 = 4 because 2^2 = 4

Then 4 + -3 = -1

6 0
2 years ago
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Answer:

5, -12, -3

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5 0
2 years ago
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