If X -8 n -7 n -1 and Y -49 n -49- where n - N- then find the relation between X and Y-

Given, nbsp;X={8^n 7n 1} and Y={49n 49} nbsp; Now, putting the values of n=1,2,3,4,... in X and Y. We get, X={0,49,490,4067, ............} & Y={0,49, ...

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Byju's Answer

Standard XII

Mathematics

Definition of Function

If X =8 n -7 ...

Question

If $X = {8^{n} - 7 n - 1}$ and $Y = {49 n - 49}$ , where $n \in N$ , then find the relation between $X$ and $Y .$

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Solution

Given, $X = {8^{n} - 7 n - 1}$ and $Y = {49 n - 49}$

Now, putting the values of $n = 1, 2, 3, 4, . . .$ in $X$ and $Y .$
We get,
$X = {0, 49, 490, 4067, . . . . . . . . . . . .} & Y = {0, 49, 98, . . ., 490, . . ., 4067, . . .}$

Clearly, $X \subset Y$

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If $X = {8^{n} - 7 n - 1 | n ϵ N}$ and $Y = {49 n - 49 | n ϵ N}$ , then

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If $X = {8^{n} - 7 n - 1 | n ϵ N}$ and $Y = {49 n - 49 | n ϵ N}$ , then

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If X={8n−7n−1} and Y={49n−49}, where n∈N, then find the relation between X and Y.

Given, X={8n−7n−1} and Y={49n−49} Now, putting the values of n=1,2,3,4,... in X and Y. We get, X={0,49,490,4067, ............} &Y={0,49,98,...,490,...,4067,...} Clearly, X⊂Y

If $X = {8^{n} - 7 n - 1}$ and $Y = {49 n - 49}$ , where $n \in N$ , then find the relation between $X$ and $Y .$

Given, $X = {8^{n} - 7 n - 1}$ and $Y = {49 n - 49}$

Now, putting the values of $n = 1, 2, 3, 4, . . .$ in $X$ and $Y .$
We get,
$X = {0, 49, 490, 4067, . . . . . . . . . . . .} & Y = {0, 49, 98, . . ., 490, . . ., 4067, . . .}$

Clearly, $X \subset Y$