Question

If pth term of an A.P. is c and the qth term is d, what is the rth term ?​

Answer 1

Answer:

Ar= { pd-qc+(r-1)*(c-d) } /(p-q)

Step-by-step explanation:

Let first term is  a and common difference =x

Then pth term=a+px=c.......(1)

qth term  =a+qx=d..................(2)

subtracting (2) from (1)

x(p-q)=c-d

x=(c-d)/(p-q)

From(1)

a+p*(c-d)/(p-q)=c

a=c - p*(c-d)/(p-q)

a=(pc-qc-pc+pd)/(p-q)=( pd-qc)/(p-q)

Thus rth term

=a+(r-1)*x

= ( pd-qc)/(p-q) +(r-1)*(c-d)/p-q

Ar= { pd-qc+(r-1)*(c-d) } /(p-q)

Answer 2

Answer:

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Step-by-step explanation: