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
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If two AP have same common difference then
both s every equal term will have same difference.
so Answer is 50.
both s every equal term will have same difference.
so Answer is 50.
Answered by
1
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
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