Question

1,5,14,30,55,?(1)55(2)91(3)95(4)97​

Answer 1

Answer:

(2) 91

Step-by-step explanation:

The question is, 1, 5, 14, 30, 55, ?

If you analyse the pattern,you'll see,

1, 1+4=5, 5+9=14, 14+16=30, 30+25=55

Here the bold digits are the squares of the consecutive natural numbers. That is,

1 = 1²

4 = 2²

9 = 3²

16 = 4²

25 = 5²

And the numbers are these squares added to the previous number in the correct order.

So the next number will be got by,

55+6² = 55+36=91

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