Question

the sum of first P terms of an ap is p(p+1)(p+2) find the 10th term of sequence​

Answer 1

Answer:330

Step-by-step explanation:

tp=Sp-Sp-1

t10=10*11*12-9*10*11

=330

Answer 2

Sp = p(p+1)(p+2)

let p be as 1,2,3 ; we get

S1 = 1(1+1)(1+2)

S1=a1=2*3=6

S2=2(2+1)(2+2)

S2=a1-2=6*4=24

therefore,a2=S2-S1

=24-6

=18

therefore,d =a2-a1

=18-6

=12

n=10

an=a+(n-1)d

=6+(10-1)12

=6+108

an=114