If 2 m -5- 4-3 m are in APthen m -A- 3-5A- 5B- 2-5C- 3D- 2

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Standard X

Mathematics

Arithmetic Progression

If 2 m +5, 4,...

Question

$If (2 m + 5), 4, 3 m are in AP,$
$then m =$ .

\frac{3}{5}

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\frac{2}{5}

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Solution

The correct option is A $\frac{3}{5}$
$Given, (2 m + 5), 4, 3 m are in AP,$

So, the difference between the consecutive terms must be constant.

$\Rightarrow 4 - (2 m + 5) = 3 m - 4$
$\Rightarrow - 1 - 2 m = 3 m - 4$
$\Rightarrow - 5 m = - 4 + 1$
$\Rightarrow - 5 m = - 3$
$\Rightarrow m = \frac{3}{5}$

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If (2m+5),4,3m are in AP, then m= .

The correct option is A 35Given, (2m+5),4,3m are in AP, So, the difference between the consecutive terms must be constant. ⇒4−(2m+5)=3m−4 ⇒−1−2m=3m−4 ⇒−5m=−4+1 ⇒−5m=−3 ⇒m=35

$If (2 m + 5), 4, 3 m are in AP,$
$then m =$ .