24 Find the sum of first 20 terms of the series: 1+1+22+1+2+33+1+2+3+44+ - Maths - Sequences and Series

Question

24 Find the sum of first 20 terms of the series:
1 + 1 + 2 2 + 1 + 2 + 3 3 + 1 + 2 + 3 + 4 4 +

25 Using principle of mathematical induction, prove that
( 1 + x ) n ≥ 1 + n x   w h e r e   n ∈
ℕ   a n d   x > - 1

Brijendra Pal · Accepted Answer

Hi,
25:
Refer the link:
https://www meritnation
com/ask-answer/question/using-the-principles-of-mathematical-induction-prove-that-1/principle-of-mathematical-induction/1118405

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24. Find the sum of first 20 terms of the series: 1 + 1 + 2 2 + 1 + 2 + 3 3 + 1 + 2 + 3 + 4 4 + . . . . . . . . . . . 25. Using principle of mathematical induction, prove that ( 1 + x ) n ≥ 1 + n x w h e r e n ∈ ℕ a n d x > - 1

24. Find the sum of first 20 terms of the series:
$1 + \frac{1 + 2}{2} + \frac{1 + 2 + 3}{3} + \frac{1 + 2 + 3 + 4}{4} + . . . . . . . . . . .$

25. Using principle of mathematical induction, prove that
$(1 + x)^{n} \geq 1 + n x w h e r e n \in ℕ a n d x > - 1$