Question

If p, q and r are three consecutive terms of an AP whose common difference is d, then the value of r-p is ____ . ​

Answer 1

Answer:

Solution:

If p, q and r are three consecutive terms in an A.P. whose common difference is d.

i.e. t1 = p = a,

》t2 = q = a + d,

》t3 = r = a + 2d.

Then, r - p = (a + 2d ) - a = 2d.

Therefore,

If p, q and r are three consecutive terms of an AP whose common difference is d, then the value of r - p is 2d.

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Extra information:

• $\sf{t_{n}=a+(n-1)d}$

• $\sf{S_{n}=\dfrac{n}{2}[2a+(n-1)d]}$