Now try to find out the pattern in example (ii). In examples (iii) and (iv), the relationship
between the numbers in each list is constantly progressive. In the given list 8000, 8500, 9000, ....
each succeeding term is obtained by adding 500 to the preceding term.
Where as in 45, 43, 41, ..... each succeeding term is obtained by adding ‘-2’ to each
preceding term. Now we can see some more examples of progressive patterns.
(a) In a savings scheme, the amount becomes
5
4
times of itself after 3 years.
The maturity amount (in Rupees) of an investment of D8000 after 3, 6, 9 and 12 years
will be 10000, 12500, 15625, 19531.25 respectively.
(b) The number of unit squares in squares with sides 1, 2, 3, .... units are respectively,
Hema put Rs. 1000 into her daughter’s money box when she was one year old and
increased the amount by Rs. 500 every year. The amount of money (in Rs.) in the box on
her 1st, 2nd, 3rd, 4th ........ birthday would be.
1000, 1500, 2000, 2500, ..... respectively.
(d) The fraction of first, second, third ..... shaded regions of the squares in the following
figure will be respectively.
1/4,1/16, 1/64, 1/256
Hema put Rs. 1000 into her daughter’s money box when she was one year old and
increased the amount by Rs. 500 every year. The amount of money (in Rs.) in the box on
her 1st, 2nd, 3rd, 4th ........ birthday would be.