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Art [367]
3 years ago
15

1 over 3 , 3 over 4 ,4 over 7 , 7 over 11, 11over 8 .... (i)one termof this sequence is p over q . Find the term of p and q , th

e next term in this sequence . Find the 6th term of this sequence 1).... 2).....
Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

Next term will be the 6th term i.e. a₆ will be:

  • a₆ = 14/11

Here:

  • p = numerator = 14
  • q = denominator = 11

Step-by-step explanation:

Given the sequence

\frac{1}{3},\:\frac{3}{4},\:\frac{4}{7},\:\frac{7}{11},\:\frac{11}{8},...

First of all the terms of the sequence are in p/q form, where p is the numerator and q is the denominator.

As the fifth term of the sequence is:

a₅ = 11/8

From the given sequence it is clear that the numerator is changing by 3 units and the denominator is also changing by 3 units.

Thus,

The next term will be the 6th term i.e. a₆ will be:

  • a₆ = 14/11

Here:

  • p = numerator = 14
  • q = denominator = 11
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