Question

13. A company purchases an office copier machine for `50,000. It is estimated that the
copier depreciates in its value at a rate of 15% per year. What will be the value of the
copier after 15 years?

Answer 1

GEOMETRIC PROGRESSION :
A sequence a1, a2, a3 ………….. an Is called a geometric sequence if a(n+1) = anr, where r is a non zero constant. Here, a1 is the first term and the constant r is called common ratio. The sequence is also called a geometric progression(G.P)

a1 = a , r = a(n+1)/ an

General term of a geometric sequence is
tn = arⁿ-1
General form of G.P is a, a r , a r ²,.........

SOLUTION IS IN THE ATTACHMENT
Here - Amount (A) = tn, Principal (P) = a
Rate( R) = r = (1 +R)

HOPE THIS WILL HELP YOU...

Answer 2

Cost price of the copier machine

= c.p = Rs 50000

Rate of depreciation each year

( d ) = 15%

Time = ( n ) = 15 years

Value of machine after

15 years =c.p [( 100 - d )/100 ]ⁿ

= 50000 × [ ( 100 - 15 )/100 ]^15

= 50000 × ( 85/100 )^15

= 50000 × ( 17/20 )^15

••••