7. If the sum of p terms of an a.P is 3p2+4p, find its nth term.
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Answer:
Step-by-step explanation:
i am going to solve this question in a different way
given
sum=3p2+4p (1)
replace p with p-1
sum=3(p-1)^2 + 4(p-1)
=3(p^2 +1 -2p) + 4p-4
= 3p^2 + 3 -6p + 4p -4
= 3p^2 -2p -1 (2)
now ,
subtracting we get 1 and 2
nth term =3p2+4p - (3p^2 -2p -1)
= 6p + 1
now, let me explain, if the sum of first 5 is terms is 10 .This subtracted by sum of first 4 terms that is 8 then we will get the 5th term as 2.
I hope you get it now,
Please mark my answer as brainliest
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