Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their $1 0^{t h}$ terms is the same as the difference between their $2 1^{s t}$ terms, which is the same as the difference between any two corresponding terms.
If true then enter $1$ and if false then enter $0$

Question

Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their

1 0^{t h}

terms is the same as the difference between their

2 1^{s t}

terms, which is the same as the difference between any two corresponding terms.
If true then enter

1

and if false then enter

0

Filo · Accepted Answer

Let a,d and an​ be the first term, common difference and n^{th} of first AP and A,d and An​ be the first term, common difference and n^{th} term of second AP respectively.  Given a=2 and A=7                                                                       a10​−A10​=a+9d−(A+9d)=a−A=2−7=−5  Difference between any two corresponding terms of these AP's is equal to difference between first terms of these AP's.  ⇒ given statement is true so answer is 1.

Question Text	Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their $1 0^{t h}$ terms is the same as the difference between their $2 1^{s t}$ terms, which is the same as the difference between any two corresponding terms. If true then enter $1$ and if false then enter $0$
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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