# If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank

The question "If the sum of nth term of an ap is define as sn=3n2+4 then find the nth term" is taken from class-10 chapter is Arithmetic Progressions Mathematics English-Medium NCERT-Book and related topic is Sum Of N Term Of A.P.. If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank is from NCERT Solutions class 10 English-Medium subject Mathematics chapter- Arithmetic Progressions Questions bank Students need stored questions answers as questions banks which can be used anytime anywhere as we can't learn so many ncert solutions.

## If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank

##### Question Origin:

NCERT-Book ➧ class-10 ➧ Mathematics ➧ English-Medium ➧ Arithmetic Progressions ➧ Sum Of N Term Of A.P.

If the sum of nth term of an A.P. is define as Sn = 3n2 + 4 then find the nth term?

Source:www.questionsbanks.com Last updated: 2022-10-11 23:08:17

Given that :   Sn = 3n2 + 4

Now Putting n = 1

S1 = 3(1)2 + 4

= 3 + 4

= 7

Putting n = 2

S2 = 3(2)2 + 4

= 3 x 4 + 4

= 12 + 4

= 16

a1 ≠ S1 ≠ 7

∵ a1 = S1 - S  Here S0 ≠  0

S0 = 3n2 + 4 ⇒ 3(0)2 + 4  ⇒ 0 + 4 = 4

Using  an = Sn - S(n - 1)

a1 = S1 - S

= 7 - 4

= 3

a2 = S2 - S1   [ using formulla an = Sn - S(n - 1) ]

= 16 - 7

= 9

d = a2 - a1 ⇒ 9 - 3 = 6

an = a + (n -1)d

= 3 + (n - 1) 6

= 3 + 6n - 6

= 6n - 3

Hence nth term is 6n - 3 Answer

Second Method :

Given that :   Sn = 3n2 + 4  ................ (i)

Replace n by (n - 1)

We have : Sn - 1 = 3(n - 1)2 + 4

⇒  Sn - 1 = 3(n2 - 2n + 1) + 4

=  3n2 - 6n + 3 + 4

=  3n2 - 6n + 7   ......................... (ii)

an = Sn - S(n - 1)

= 3n2 + 4 - (3n2 - 6n + 7 )

= 3n2 + 4 - 3n2 + 6n - 7

## Chapter: Arithmetic Progressions | Topic: Sum Of N Term Of A.P.

1 Questions Found on same Topics.

If the sum of nth term of an A.P. is define as Sn = 3n2 + 4 then find the nth term?

### Chapter: Arithmetic Progressions (Mathematics English-Medium)

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Which term of the sequence 114, 109, 104…………is the first negative term?

If the sum of nth term of an A.P. is define as Sn = 3n2 + 4 then find the nth term?

# If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank

All chapters of NCERT Book as ncert solutions have exercise questions, textual questions and so many addtional questions like short answered questions, long answered questions and very long questions, here we included all types of questions answers format that need for a students and other stock holders like teachers and tutors. If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank is from NCERT Solutions class 10 English-Medium subject Mathematics chapter- Arithmetic Progressions Questions bank

## If the sum of nth term of an ap is define as sn=3n2 4 then find the nth term - Questions Bank

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