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Standard X

Mathematics

nth Term of an AP

In an AP, the...

Question

In an AP, the first term is $6$ and the common difference is $- 4 / 3$ . Find the $4 t h$ term

2 / 3

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2

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- 2 / 3

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14 / 3

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Solution

The correct option is B $2$
Arithmetic Progression
Given
First term, $a = 6$
Common difference, $d = \frac{- 4}{3}$
$4^{t h}$ term $= ?$
$T_{n} = a + (n - 1) d$
$T_{n} = 6 + (4 - 1) (\frac{- 4}{3})$
$T_{n} = 6 + 3 (\frac{- 4}{3})$
$T_{n} = 6 - 4$
$T_{n} = 2$

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In an AP, the first term is 6 and the common difference is −4/3. Find the 4th term

The correct option is B 2Arithmetic Progression Given First term, a=6Common difference, d=−434th term =?Tn=a+(n−1)dTn=6+(4−1)(−43)Tn=6+3(−43)Tn=6−4Tn=2

In an AP, the first term is $6$ and the common difference is $- 4 / 3$ . Find the $4 t h$ term

The correct option is B $2$
Arithmetic Progression
Given
First term, $a = 6$
Common difference, $d = \frac{- 4}{3}$
$4^{t h}$ term $= ?$
$T_{n} = a + (n - 1) d$
$T_{n} = 6 + (4 - 1) (\frac{- 4}{3})$
$T_{n} = 6 + 3 (\frac{- 4}{3})$
$T_{n} = 6 - 4$
$T_{n} = 2$