Question

Write the next four terms of given ap a+b, a-b, a-3bWith explanation ​

Answer 1

Answer :

c.d =

a -5b - a +3b = -2b

c.d =

a - b - a -b = -2b

c.d =

a -3b -a +b = -2b

so the answer is a-5b,a-7b ,a-9b,a-11b .

hope you understand ♤♤♤♤♤♤

Answer 2

ANSWER

In the given progression is a+b,a−b,a−3b,......, the first term a1=a+b, second term a2=a−b and third term a3=a−3b. So, the difference between the two terms of the given progression is: 

 

d=a2−a1=a−b−(a+b)=a−b−a−b=−2b  

Therefore, the next four terms of the arithmetic progression are:

a4=a3−2b=a−3b−2b=a−5b   

a5=a4−2b=a−5b−2b=a−7b

a6=a5−2b=a−7b−2b=a−9b

a7=a6−2b=a−9b−2b=a−11b

 

Hence, the next four terms are a−5b,a−7b,a−9b,a−11b.

Hope it helps.