Question

find the next three terms of the following sequence 1/4,2/9,3/16,........​

Answer 1

Answer:

4/25,5/36,6/49

Step-by-step explanation:

4/(5)²,5/(6)²,6/(7)²

Answer 2

Answer:

4/25 ,5/36 ,6/49 these are the next three terms of the following sequence.

Step-by-step explanation:

1/4,2/9,3/16.....

here we see the pattern as in numerator, the number is increasing or adding by 1 starting with 1 and in the denominator, the number is getting squared starting with 2.

as 1/4 gives (1+1)/3*3=2/9

2/9 gives( 2+1/)/4*4=3/16

3/16 gives(3+1)/5*5= 4/25

4/25 gives (4+1)/6*6= 5/36

5/36 gives (5+1)/7*7=6/49

so following the same pattern the next three terms will be

4/25

5/36

6/49.

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