Consider Two A.P.s. The first term of one A.P. is 2 and that of other is 7. The difference between their $10^{t h}$ terms is the same as the difference be their $21^{s t}$ terms, which is the same as the difference between any two corresponding terms. Why?

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Solution

Formula:

$a_{n} = a + (n - 1) d$

Let the first A.P. is represented by $x$

Let the second A.P. is represented by $y$

Given,

$7 + 9 y - (2 + 9 x) = 7 + 20 y - (2 + 20 x)$

$7 + 9 y - 2 - 9 x = 7 + 20 y - 2 - 20 x$

$9 y - 20 y = 9 x - 20 x$

$- 11 y = - 11 x$

$∴ x = y$

Therefore the difference between consecutive terms in both AP's is same.

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Q. Two A.P.s have the same common difference . The first term of one A.P. is 2 and that of the other is 7 . The difference between their 10^th terms is the same as the difference between their 21^stterms , which is the same as the difference between any two corresponding terms . Why ?

Q. Two A. p shave the same common difference. The first term of one A. p is 2 and that of the other is 7, The difference between their

10^{t} h

term is the same as the difference between their 21^st term, which is the same as the difference any two corresponding terms. why?

Q. Question 4
Two AP’s have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their

10^{t h}

terms is the same as the difference between their

21^{s t}

terms, which is the same as the difference between any two corresponding terms?Why?

Q. Question 4
Two AP’s have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their

10^{t h}

terms is the same as the difference between their

21^{s t}

terms, which is the same as the difference between any two corresponding terms?Why?

Two A.P. s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. The difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms. Why?

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Consider Two A.P.s. The first term of one A.P. is 2 and that of other is 7. The difference between their 10th terms is the same as the difference be their 21st terms, which is the same as the difference between any two corresponding terms. Why?

Formula:an=a+(n−1)dLet the first A.P. is represented by xLet the second A.P. is represented by yGiven,7+9y−(2+9x)=7+20y−(2+20x)7+9y−2−9x=7+20y−2−20x9y−20y=9x−20x−11y=−11x∴x=yTherefore the difference between consecutive terms in both AP's is same.

Consider Two A.P.s. The first term of one A.P. is 2 and that of other is 7. The difference between their $10^{t h}$ terms is the same as the difference be their $21^{s t}$ terms, which is the same as the difference between any two corresponding terms. Why?