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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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