Give an algebraic expression for the pattern nbsp-1-8-27-64-n-2-nn-3n-2-2nn-3-3

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Standard VII

Mathematics

Algebraic Expressions as Pattern

Give an algeb...

Question

Give an algebraic expression for the pattern 1,8,27,64.........

n^{2} + n

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n^{3}

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n^{2} + 2 n

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n^{3} - 3

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Solution

The correct option is B $n^{3}$
Each term in the pattern is cube of a number.
$(1)^{3} = 1$ , (first term; n = 1),
$(2)^{3} = 8$ , (second term; n = 2)
$(1)^{3} = 1$ , (third term; n = 3) and so on .
So, the expression of the above pattern is $n^{3}$ where n= 1,2,3.......

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Give an algebraic expression for the pattern 1,8,27,64.........

The correct option is B n3Each term in the pattern is cube of a number. (1)3=1, (first term; n = 1), (2)3=8, (second term; n = 2) (1)3=1, (third term; n = 3) and so on . So, the expression of the above pattern is n3 where n= 1,2,3.......

The correct option is B $n^{3}$
Each term in the pattern is cube of a number.
$(1)^{3} = 1$ , (first term; n = 1),
$(2)^{3} = 8$ , (second term; n = 2)
$(1)^{3} = 1$ , (third term; n = 3) and so on .
So, the expression of the above pattern is $n^{3}$ where n= 1,2,3.......