No products in the cart.

Is 51 tearm of the AP …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Is 51 tearm of the AP 5,8,11
  • 1 answers

Yogita Ingle 7 years, 3 months ago

Here the first term; a = 5
Common difference; d = 11 - 8 = 8 - 5 = 3
So, nth term is given by;
tn = a + (n − 1)d = 5 + (n − 1) × 3
Now to prove whether 51 is term of this A.P, taking tn = 51
51 = 5 + (n − 1) × 3
⇒ 51 = 5 + 3n − 3
⇒ 3n = 51 + 3 − 5
⇒ 3n = 49
n = 49/33
Now we know that number of terms can't be in fraction.
So, 51 is not term of this A.P.

https://examin8.com Test

Related Questions

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