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Standard IX

Mathematics

Power Set

N, the set of...

Question

N, the set of natural numbers is divided into subsets $A_{1}$ = (1), $A_{2}$ = (2,3), $A_{3}$ = (4,5,6) and so on. Find the sum of elements in $A_{50}$ .

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62525

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Solution

The correct option is C 62525
Option (C) is the correct answer. Check the video for the approach.

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Similar questions

Q. N, the set of natural numbers, is partitioned into subsets

S_{1} = {1}, S_{2} = {2, 3}, S_{3} = {4, 5, 6}, S_{4} = {7, 8, 9, 10}

. The last term of these groups is

1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4

, so on. Find the sum of the elements in the subset

S_{50}

Q. The set of natural numbers is divided into arrays of rows and columns in the form of matrices as

A_{1} = (1), A_{2} = (\begin{matrix} 2 & 3 4 & 5 \end{matrix}), A_{3} = ⎛ ⎜ ⎝ \begin{matrix} 6 & 7 & 8 9 & 10 & 11 12 & 13 & 14 \end{matrix} ⎞ ⎟ ⎠

... so on.
Find the value of

T_{r} (A_{10})

.
[Note:

T_{r} (A)

denotes sum of diagonal elements of

A

The series of natural numbers is divided into groups as follows ; (1), (2,3),(4,5,6), (7,8,9,10) and so on. The sum of the numbers in the Nth group is

If the set of natural numbers is partitioned into subset $S_{1}$ = {1}, $S_{2}$ = {2,3}, $S_{3}$ = {4,5,6} and so on.Then the sum of the terms is $S_{50}$ is_______.

Q. If one quarter of all three element subsets of the set

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contains the element

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then n

=

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N, the set of natural numbers is divided into subsets A1 = (1), A2 = (2,3), A3 = (4,5,6) and so on. Find the sum of elements in A50.

The correct option is C 62525Option (C) is the correct answer. Check the video for the approach.

N, the set of natural numbers is divided into subsets $A_{1}$ = (1), $A_{2}$ = (2,3), $A_{3}$ = (4,5,6) and so on. Find the sum of elements in $A_{50}$ .

The correct option is C 62525
Option (C) is the correct answer. Check the video for the approach.