Answer all questions.
jawab semua soalan.
given an arithmetic progression with first term 36 and common difference - 4 . find
the number of tennis in the progression if the sum of all terins is 0.
diberi suatu janjang arimetik dengan sebutan pertama 36 dan beza sepunya - 4.
cari bilangan sebutan janjang itu jika hasil tambah bagi semua sebutannya ialah 0.
[2 marks]
[2 markah]

18  

Step-by-step explanation:

The first four terms of your sequence are

a₁ = 34

a₂ = 30

a₃ = 26

a₄ = 22

If the sum of all the terms is zero, there must be a set of negative terms corresponding to the positive ones.

That is, the last four terms must be -22, -26, -30, -34.

So, one strategy is to find the number of positive terms and multiply by 2.

Each term (aₙ) in your sequence is 4 units less than the preceding term (aₙ₋₁) .

The explicit formula is

aₙ= 34 - 4(n - 1)

Assume aₙ = 0. Then

We can't have a fractional number of terms, so  

n = 9 (that is, the last positive number is 2).

There must be a corresponding sequence of nine negative numbers.

Your complete sequence has 18 terms.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.