Question

the number of potteries produced
(in) How many terms of the AP 16. 14. 12. are needed to give the sum 60? Explain
why do we get two answers.

please tell me answer...​

Answer 1

Answer:

We know that Sn = n/2(2a+(n-1)d)

60 = n/2(2*16+(n-1)(-2))

120 = n(34 - 2n)

120 = 34n-2n^2

n^2 -17n+60=0

n^2 -12n-5n+60=0

n=5 or 12.

Here, we get 2 answers because of a quadratic equation giving both +ve values.