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Two A.Ps have the same common difference. If the first terms of each A.Ps are-1 and -8 then find the difference between the fourth terms

Respuesta :

Answer:

The difference between the fourth terms is 7

Step-by-step explanation:

Solution:

For 1st A.P

Given

First term a = -1

common difference = d

n = number of term

Now by formula of A.P we get

[tex]T_n = a +(n-1)d[/tex]

For n =4

[tex]T1_4= -1+(4-1)d=-1+3d[/tex]

For 2nd  A.P

First term a = -8

common difference = d

n = number of term

Now by formula of A.P we get

[tex]T_n = a +(n-1)d[/tex]

For n =4

[tex]T2_4= -8+(4-1)d=-8+3d[/tex]

Difference Between the Fourth terms= [tex]T1_4- T2_4=-1+3d-(-8+3d)= -1+3d+8-3d=7[/tex]