Question

Complete the series
2, 9, 30, ?, 436, 2195, 13182
(a) 216
(b) 105
(c) 178
(d)324
(e) None of the above

Answer 1

Answer:(b)105

››2×1+1×7=9

››9×2+2×6=30

››30×3+3×5=105

››105×+4×4=436

››436×5+5×3=2195

››2195×6+6×2=13182

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Answer 2

Given,

The number series 2, 9, 30, ?, 436, 2195, 13182

To Find,

The fourth number in the given series.

Solution,

To solve the given number series problem, we first need to check the relation between the given numbers.

If we look at the first number, we can see that, it is multiplied by 1 and multiplied by 7  and then their product is added to get the next number in the series.

⇒ 2 × 1 + 1 × 7 = 9

Also for the second number the it is multiplied by successor of 1 that is 2 and multiplied by predecessor of 7 that is 6 and then their product is added to get the next number in the series.

⇒ 9 × 2 + 2 × 6 = 30

The same pattern is also followed in the next number, it is multiplied by successor of 2 that is 3 and multiplied by predecessor of 6 that is 5 and then their product is added to get the next number in the series

⇒ 30 × 3 + 3 × 5 = 105

Hence, the fourth missing number is 105.