1. Find next 3 numbers in the sequence `4/9,9/20,19/42,39/86`

I. Numerator

4		9		19		39		79
	`+`5		`+`10		`+`20		`+`40
		`xx`2		`xx`2		`xx`2

`:.` The next number for given series `4,9,19,39` is `79`

II. Denominator

9		20		42		86		174
	`+`11		`+`22		`+`44		`+`88
		`xx`2		`xx`2		`xx`2

`:.` The next number for given series `9,20,42,86` is `174`

So next numbers will be `79/174`

`:.` The next number for given series `0.4444,0.45,0.4524,0.4535` is `0.454`

Solution-1

---

2. Find next 3 numbers in the sequence `1/4,3/8,1/2,5/8`

Here LCM of denominator `4,8,2,8` is `8`

So number becomes `2/8,3/8,4/8,5/8`

So next numbers will be `6/8,7/8,8/8`

`:.` The next 3 number for given series `0.25,0.375,0.5,0.625` are `0.75,0.875,1`

Solution-1

---

3. Find next 3 numbers in the sequence `100/9,25/2,100/7,50/3`

Here LCM of numerator `100,25,100,50` is `100`

So number becomes `100/9,100/8,100/7,100/6`

So next numbers will be `100/5,100/4,100/3`

`:.` The next 3 number for given series `11.1111,12.5,14.2857,16.6667` are `20,25,33.3333`

Solution-1

---

4. Find next 3 numbers in the sequence `-1,1/2,-1/6,1/24,-1/120`

I. Numerator

-1		1		-1		1		-1		1
	`-:`-1		`-:`-1		`-:`-1		`-:`-1		`-:`-1

`:.` The next number for given series `-1,1,-1,1,-1` is `1`

II. Denominator

1		2		6		24		120		720
	`xx`2		`xx`3		`xx`4		`xx`5		`xx`6
		`+`1		`+`1		`+`1		`+`1

`:.` The next number for given series `1,2,6,24,120` is `720`

So next numbers will be `1/720`

`:.` The next number for given series `-1,0.5,-0.1667,0.0417,-0.0083` is `0.0014`

Solution-1

---

---