Question

two AP have same common difference. if difference of 90 th terms of both AP is 50 then find difference of 100th term terms of the two AP

Answer 1

If two AP have same common difference then
both s every equal term will have same difference.

so Answer is 50.

Answer 2

Answer:

50

Step-by-step explanation:

1st AP

first term= a

common difference=d

90th term= a90=a+89d

2nd AP

first term = b

common difference = d

90th term = b90= b+89d

now difference of the 90th terms is 50

a+89d-(b+89d)=50

a+89d-b-89d=50

a-b=50

now we have to find the difference of 100th terms

100th term of 1st AP= a+99d

100th term of 2nd AP= b+99d

difference = a+99d-(b+99d)= a+ 99d - b - 99d = a-b

we know that a-b=50 from the above step

hence the difference is 50

hope this ans was helpful

pls ark as branliest

thank you