Question

the 3rd term of an AP is p and the fourth term is q. find the 10th term​

Answer 1

Hêyá ûr answèr îs hérē

= >3rd term=a+2d

=>4th term=a+3d

a/c to question,

a+2d=p--------------(1)

a+3d=q--------------(2)

on subtracting eq (2) from eq(1)

we get, -d=p-q

=>d=-(p-q)= -p+q✓✓

now, putting the value of d in eq.(1)

=>a+2d

=>a=2(-p+q)✓✓

now, we have a=2(-p-q) and d=-p+q

10th term = a+9d

putting the value of a and d in eq.

=>a+9d

=>2(-p+q)+9(-p+q)

therefore, 10th term ís 2(-p+q)+9(-p+q)

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