Answer:
Therefore the missing term is
![(5)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/50487ik3vmc4ygf5aa9chmzp80lxe7joyt.png)
And the Sequence is
![1,(3)/(2),(5)/(4),(7)/(8),(9)/(16)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nkrv1nz4wqi22pnjtq3kp3xlgwjorl11sp.png)
Explanation:
The Missing Pattern in b>
The given Sequence is
![1,(3)/(2),\ ...\ ,(7)/(8),(9)/(16)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/h297lo3hxesgibn58irsi0of7kjp4rxean.png)
To Find:
Missing one
Solution:
In this Pattern two is added to the numerator and two is multiplied by the denominator for the next term.
First term is
![(1)/(1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xlmzgitf11j8sfeakt9iqzxgt31v323ak2.png)
Now for the second term, add two do the numerator and multiply two the denominator we get,
![(1+2)/(1* 2)=(3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yv30zui78bc1ow03sviy0lzs5vawqi98sh.png)
Similarly for the third term do the same process we get
![(3+2)/(2* 2)=(5)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qcntnrzy4xs1tx2fxhzzhl1sv4yad6fw5v.png)
Further for the fourth term we will get
![(5+2)/(4* 2)=(7)/(8)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/eyngua0iteqkq2sqmrwccv3jbhesgu48n9.png)
and so on.
Therefore the missing term is
![(5)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/50487ik3vmc4ygf5aa9chmzp80lxe7joyt.png)
And the Sequence is
![1,(3)/(2),(5)/(4),(7)/(8),(9)/(16)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nkrv1nz4wqi22pnjtq3kp3xlgwjorl11sp.png)