No products in the cart.

The sum of first n of …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

The sum of first n of an ap is given by SN is equal to 2nsquare + 3 and find the 16 term of AP
  • 2 answers

Gaurav Seth 6 years, 11 months ago

There is a mistake in a question.
I think question is like this

Question:

The sum of first n terms of an AP is given by Sn = 2n² + 3n . Find the sixteenth term of
the AP.


Solution:

Let an be the nth term & Sn be the sum of first n terms.

Given:
Sn = 2n²+3n

an = S(n) - S(n-1)

=2n²+3n -[ 2(n-1)²+3(n-1)]

= 2n²+3n -[2(n²+1-2n)+3n -3]

= 2n²+3n -[2n²+2-4n + 3n -3]

= 2n²+3n -2n²+4n-3n -2+3

= 2n²+2n²+3n -3n +4n -2+3

= 4n +1

an = 4n+1

a16= 4×16 +1= 64+1= 65

Hence, the 16th term of an AP is 65

Puja Sahoo 6 years, 11 months ago

-----> a16 = 20........
https://examin8.com Test

Related Questions

(A + B )²
  • 1 answers
Prove that root 8 is an irration number
  • 2 answers
Venu Gopal has twice
  • 0 answers
X-y=5
  • 1 answers
Find the nature of quadratic equation x^2 +x -5 =0
  • 0 answers
sin60° cos 30°+ cos60° sin 30°
  • 2 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App