Math, asked by mishrarose62, 1 month ago

TO FIND THE

VALUE OF a^n

(WHERE a AND

n ARE

NATURAL

NUMBERS)

USING PAPER

FOLDING​

Answers

Answered by hh4818969
2

Step-by-step explanation:

The sum of the first n terms of an AP is given by

Math Labs with Activity – Sum of the First n Natural Numbers 2 ….(i)

Taking a = 1 and d = 1, the AP becomes 1,2, 3, 4, …

∴ putting a =1 and d = 1 in equation (i), we get

Math Labs with Activity – Sum of the First n Natural Numbers 3

i.e., the sum of the first n natural numbers =

Math Labs with Activity – Sum of the First n Natural Numbers 4

Procedure

Step 1: We shall verify the formula for the first 10 natural numbers, i.e., for n = 10.

Step 2: Draw horizontal and vertical lines on the sheet of white paper to mark squares, each of size 1 unit x 1 unit.

Step 3: Cut the colored paper tape in 10 rectangular strips of lengths 1 unit, 2 units, 3 units, …, 10 units.

Step 4: Paste these strips on the grid sequentially

Cut the portion of the rectangle ABCD which is covered by the colored paper strips. We find that this portion completely covers the remaining portion of the rectangle ABCD

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