First Principles AI

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11TH · MATH

Question 1

menu_bookSolution menu_bookTheory menu_book•(i)

1 \times 3 + 2 \times 5 + 3 \times 7 + \cdots

menu_book•(ii)

1 \times 5 + 2 \times 8 + 3 \times 11 + \cdots

menu_book•(iii)

1 \times 2 + 2 \times 5 + 3 \times 8 + \cdots

menu_book•(iv)

1 \times 3 \times 5 + 2 \times 4 \times 6 + 3 \times 5 \times 7 + \cdots

menu_book•(v)

1 \times 2 \times 4 + 2 \times 3 \times 7 + 3 \times 4 \times 10 + \cdots

menu_book•(vi)

2^2 + 4^2 + 6^2 + \cdots

menu_book•(vii)

3^2 + 6^2 + 9^2 + \cdots

menu_book•(viii)

4 \times 1^2 + 7 \times 2^2 + 10 \times 3^2 + \cdots

menu_book•(ix)

3 + (3+7) + (3+7+11) + \cdots

menu_book•(x)

1^2 + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + \cdots

school

11TH · MATH

Question 1

menu_bookSolution menu_bookTheory menu_book•(i)

1 \times 3 + 2 \times 5 + 3 \times 7 + \cdots

menu_book•(ii)

1 \times 5 + 2 \times 8 + 3 \times 11 + \cdots

menu_book•(iii)

1 \times 2 + 2 \times 5 + 3 \times 8 + \cdots

menu_book•(iv)

1 \times 3 \times 5 + 2 \times 4 \times 6 + 3 \times 5 \times 7 + \cdots

menu_book•(v)

1 \times 2 \times 4 + 2 \times 3 \times 7 + 3 \times 4 \times 10 + \cdots

menu_book•(vi)

2^2 + 4^2 + 6^2 + \cdots

menu_book•(vii)

3^2 + 6^2 + 9^2 + \cdots

menu_book•(viii)

4 \times 1^2 + 7 \times 2^2 + 10 \times 3^2 + \cdots

menu_book•(ix)

3 + (3+7) + (3+7+11) + \cdots

menu_book•(x)

1^2 + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + \cdots

Accedmychevron_right11thchevron_rightmathchevron_rightSequences And Serieschevron_rightExercise 6.10

( \dfrac{n(n+1)^2(n+2)}{12} )

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