Math, asked by anugeorge8832, 1 year ago

If in an AP, Tm=n, Tn=m, prove d=-1.

Answers

Answered by siddhartharao77
9

We know that nth term of an AP an = a + (n - 1) * d.

Now,

Given Tm = n.

= > a + (m - 1) * d = n ------- (1)

Given Tn = m.

= > a + (n - 1) * d = m ------ (2)

Now,

On subtracting, we get

= > (m - 1) * d - (n - 1) * d = n - m

= > d(m - 1 - n + 1) = n - m

= > d(m - n) = n - m

= > d = (n - m)/(m - n)

= > d = -(m - n)/(m - n)

= > d = -1.


Hope this helps!

Answered by khanakhathi13
0

Answer:

Please refer to attachment

Step-by-step explanation:

using formula for d

then

taking out -1 common from numerator

then

both numerator and denominator gets cancel

and -1 remains

hence proved.

Attachments:
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