Question

Question No. 1
Complete the series.
5,4,6, 15, 56, (...)
A) 253
C) 263
B) 275
D) 271​

Answer 1

Answer:

275

Step-by-step explanation:

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The pattern is:-

a,(a-1),2(a-1)-2,3(a-2)-3,......, (n-1)(a-n)-n

Let's substitute a=5

5, 5-1 , 2( 5-1) -2, 3(5-2) -3,......

= 5,4,6,15,56,275,......

Answer 2

Given: 5, 4, 6, 15 ,  56, (---)

To Find : Missing number in the series

Solution:

5

5 * 1 - 1  = 4

4 *2 - 2  = 6

6 * 3 - 3 = 15

15 * 4 - 4 = 56

56 * 5 - 5  = 275

Hence missing number is 275

Logic is

Tₙ₊₁  = Tₙ *  n  - n    =  n ( Tₙ   - 1)   where T₁  = 5

Tₙ₊₁ =  n ( Tₙ   - 1) can be shown as

5

(5 - 1) * 1  = 4

(4 - 1) * 2  = 6

(6 - 1) * 3  = 15

(15 - 1) * 4  = 56

(56 - 1) * 5 = 275

Hence missing number in the series is 275

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