(i) A person writes a letter to four of his friends. He asks each one of them to copy the letter
and give it to four different persons with same instructions so that they can move the
chain ahead similarly. Assuming that the chain is not broken the number of letters at first,
second, third ... stages are
1, 4, 16, 64, 256 .............. respectively.
(ii) The total amount at the end of first , second, third .... year if ` 500/- is deposited in the
bank with annual rate 10% interest compounded annually is
550, 605, 665.5 ......
(iii) A square is drawn by joining the mid points of the sides
of a given square. A third square is drawn inside the
second square in the same way and this process
continues indefinitely. If a side of the first square is
16cm then the area of first, second, third ..... square
will be respectively.
256, 128, 64, 32, .....
(iv) Initially a pendulum swings through an arc of 18 cms.
On each successive swing the length of the arc is 0.9th of the
previous length. So the length of the arc at first, second, third.......
swing will be resepectively (in cm).
18, 16.2, 14.58, 13.122..
Some more example of GP are :
(ii) The total amount at the end of first , second, third .... year if ` 500/- is deposited in the
bank with annual rate 10% interest compounded annually is
550, 605, 665.5 ......