If 2-4-6- - -50 terms -1-3-5- n terms -51-2- then find the value of n-

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If 2+4+6+… . ...

Question

If $\frac{(2 + 4 + 6 + \dots \dots 50 t e r m s)}{(1 + 3 + 5 + \dots \dots n t e r m s)} = \frac{51}{2}$ , then find the value of n.

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Solution

The correct option is D 10
Use the options to get the answer. For n = 10, we get the required ratio as $\frac{51}{2}$
OR
$\frac{50}{2} \times \frac{(2 + 100)}{n^{2}} = \frac{51}{2} => n^{2} = 100 => n = 10$

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If (2+4+6+……50 terms)(1+3+5+……n terms)=512, then find the value of n.

The correct option is D 10Use the options to get the answer. For n = 10, we get the required ratio as 512 OR 502×(2+100)n2=512=>n2=100=>n=10

If $\frac{(2 + 4 + 6 + \dots \dots 50 t e r m s)}{(1 + 3 + 5 + \dots \dots n t e r m s)} = \frac{51}{2}$ , then find the value of n.

The correct option is D 10
Use the options to get the answer. For n = 10, we get the required ratio as $\frac{51}{2}$
OR
$\frac{50}{2} \times \frac{(2 + 100)}{n^{2}} = \frac{51}{2} => n^{2} = 100 => n = 10$