Question

6,12,30,56,132 number series
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Answer 1

Answer:

Question 1117158: 6,12,30,56,132,? 6 = 2*3 12 = 3*4 30 = 5*6 56 = 7*8 132 = 11*12 The pattern is: "take the next prime number and multiply it by the integer number next to it." Following to this pattern, the next number is 182 = 13*14.

Answer 2

Given:

The number series 6,12,30,56,132.

To Find:

The next terms of the given series.

Solution:

Observe the pattern,

$2\times 3=6\\3\times 4=12\\5\times 6=30\\7\times 8=56\\11\times 12=132$

Here prime numbers starting from 2 are multiplied by their respective next term.

2, 3, 5, 7, and 11 are all prime numbers.

After 11, the prime number comes is 13. The next term after 13 is 14 so, 13 will be multiplied by 14 to get the next term of the series.

$13\times 14= 182$

Thus, the next term of the series after 132 is 182.