Question

How many bottles can filled 300 ml capacity from a pot which contains 2•5m3oil

Answer 1

Step-by-step explanation:

(a) Arithmetic sequence is 8,11,14,....

First term, a=8 and common difference, d=11−8=3

Thus, nth term of the sequence is

t

n

=a+(n−1)d=8+(n−1)3=8+3n−3=3n+5

Thus, the algebraic form of the given arithmetic sequence is 3n+5

(b) Consider the number 121

Therefore, 121=3n+5

⇒ 121−5=3n

⇒ 3n=116

Here, 116 is not divisible by 3

∴ 121 is not a term of the sequence.

(c) Square of nth term =(3n+5)

2

=9n

2

+30n+25=(9n

2

+30n+25)+5

9n

2

term and 30n term are divisible by 3 but 20 is not divisible by3. Hence, the square of the nth term will not occur in this sequence.

Answer 2

Step-by-step explanation:

Capacity of the

POT = 2.85M^3 = 2.85*1000000 = 2850000ml

{ 1m^3=1000000ml}

Now ,

The bottles of 300 ml can be filled by 2850000ml=2850000/300

= 9500 Bottles

Answer = 9500 Bottles

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