Question

if sum of P terms of an ap is 2p^2 + 3p... what is the common difference..??​

Answer 1

Answer:

4

Step-by-step explanation:

sum of P terms of an ap is 2p^2 + 3p.

S(p) = 2p² + 3p

S(3) = 2.3² + 3.3 = 27

S(2) = 2x2² + 3x2 = 14

S(1) = 2 + 3 = 5

U3 = S(3) - S(2) = 13

U2 = S(2) - S(1) = 9

U1 =   S(1)   = 5

common difference = 4

an other solution

Up = S(p) - S(p-1) = 2p² + 3p - 2(p-1)² - 3(p-1) = 2p - 1 +3 =4p + 1

d = Up - Up-1 = 4p + 1 - 4(p-1) - 1 = 4