Question

find next
two terms of AP 1, 3/2 , 2 ,5/2​

Answer 1

Answer:

3, 7/2

Step-by-step explanation:

1-3/2=1/2

3/2+1/2 =2

2+1/2=5/2

5/2+1/2=3

3+1/2=7/2

Answer 2

The next term in the pattern are 3 and 3.5

Step-by-step explanation:

• Given sequence of A.P are given below

        $\mathbf{1,\frac{3}{2},2,\frac{5}{2}}$

• Let common difference is D

        $\mathbf{D =\frac{3}{2}-1=\frac{3-2}{2}=\frac{1}{2}}$

• Now fifth term is sum of fourth term and common difference.

        $\mathbf{Fifth \ term= \frac{5}{2}+\frac{1}{2} =\frac{5+1}{2}=\frac{6}{2}=3}$

• Similarly sixth term is sum of fifth term and common difference.

        $\mathbf{Sixth \ term= 3+\frac{1}{2} =\frac{6+1}{2}=\frac{7}{2} }$