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Firlakuza [10]
3 years ago
10

Write the equation for this table​

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0
Y= +9

0+9=9
2+9=11
4+9=13
6+9=15
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<h3><u>Answer:</u></h3>

\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}}

<h3><u>Step-by-step explanation:</u></h3>

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}

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\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}

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  • Common difference = 1
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<u>Substituting the respective values,</u>

\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}

<h3><u>Hence the nth term of the given sequence is given by ¹/n .</u></h3>

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