Question

If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be
A. 0
B. p – q
C. p + q
D. – (p + q)

Answer 1

Answer:

p+q is the write answers for the questions

Answer 2

C. p + q

Step-by-step explanation:

Given: sum of P terms = q and sum of q terms is p

Find:  sum of p + q terms  

Solution:

S(p) = p/2 (2a + (p-1)d) = q

q = p/2*(2a +(p-1)d)

S(q) = p = q/2*(2a +(q-1)d)

S(p+q) = (p+q)/2 (2a + (p+q-1)d)  

  S(p+q) = S(p) + S(q) = p +q

Option C is the answer.