Question

the next number in the sequence 4/23, 9/24, *, 16/24, 25/26, 36/27 is​

Answer 1

Next term in this sequence is = $\frac{49}{28}$

Given:

The sequence  4/23, 9/24,  16/25 , 25/26 , 36/27 ​

To find:

The next number in the sequence.

Explanation:

The logic behind this sequence is that numerator part is the square of the number which is grater than one from previous number and denominator is adding one from previous number.

That is,

$\frac{2^2}{23}$ = $\frac{4}{23}$  

$\frac{3^2}{24}$ = $\frac{9}{24}$

On the similar way,

$\frac{4^2}{25}$ = $\frac{16}{25}$    

On the similar way,

Next term in this sequence is $\frac{7^2}{28}$ =  $\frac{49}{28}$

To learn more...

1)The sequence a1, a2, a3, ...... a98 satisfies the relation an+1 = a + 1 for n = 1, 2, 3,......97 and

has the sum equal to 4949, then, evaluate a2+a4+a6.......a98​

https://brainly.in/question/10201733

2)The sequence a1,a2,a3,... satisfies a1 =19, a9 =99, and,for all n≥3,an is the arithmetic mean of the first n − 1 terms. Find a2.

https://brainly.in/question/7361588