Math, asked by arpitaAru, 9 months ago

the sum of n terms is 3n²-4 find the 4th term​

Answers

Answered by alfiyashaikh7303214
1

Step-by-step explanation:

Given: Sn = 3n² - 4n

Replacing n-1 with n

Sn-1 = 3 (n-1) - 4 (n-1)

=3 (n²-2n+1) - 4n + 4

=3n² - 6n +4n +4

= 3n² -10n + 7

Now,

an= Sn -Sn-1

= 3n² - 4n - (3n² - 10n -7)

=3n² - 4n -3n² + 10 -7

= -4n +10-7

3n² and -3n² will be cancelled

= 6n -7

The nth term is 6n-7

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