Question

please solve this fastly it is urgent​

Answer 1

Answer:

1. Clearly it is an AP

2. It does not form an AP

Step-by-step explanation:

Given:

Total strength of students in the auditorium= 1000

Number of students left in the Auditorium when first batch of 25 students leaves the auditorium= 1000 - 25 = 975

Number of students left in the Auditorium when second  batch of 25 students leaves the auditorium= 975 - 25 = 950

Number of students left in the Auditorium when third batch of 25 students leaves the auditorium= 950 - 25 = 925 and so on…

Thus, the number of students lap in auditorium at different stages are:

1000, 975, 950, 925,.......

Clearly it is an A.P with first term(a)= 1000 common difference(d) = -25.

ii) If P is the principal and R% per annum is the rate of interest compounded annually then, the amount (A) at the end of n years.

A=P(1+100R)n

Given: P=100,R=4

A=100(1+1004)^n

A=100(1+251)^n

A=100(2526)^n

A=100×(1.04)^n

The amount of money in the account at the end of different years is given by:

100×(1.04)1,100×(1.04)2,100×(1.04)3,.....

Or   104,108.16,112.48,.....

Clearly it is not forming an A.P.