Given that $443$ is the nth term of the arithmetic progression $5+8+11+...$ , find $n$

Question

0

Odinaka_OTyro

Asked: December 26, 20202020-12-26T10:47:49+00:00 2020-12-26T10:47:49+00:00In: Arithmetic, Numbers and Combinatorics

Given that $443$ is the nth term of the arithmetic progression $5+8+11+...$ , find $n$

0

Given that $443$ is the nth term of the arithmetic progression $5+8+11+...$ , find $n$

You must login to add an answer.

Need An Account,

1 Answer

Sengemegz · Accepted Answer · 2020-12-28T19:54:51+00:00

Best Answer

Sengemegz Moderator

2020-12-28T19:54:51+00:00Added an answer on December 28, 2020 at 7:54 pm

This answer was edited.

$T_{n}=a+(n-1)d$
Where $T_{n}=443, a=5, n=?, d=T_{2}-T_{1}=8-5=3$
Hence
$443=5+(n-1)3$
$\Rightarrow 443=5+3n-3$
Collect like terms
$\Rightarrow 443-5+3=3n$
$\Rightarrow 441=3n$
Divide both sides by 3
$\therefore n=147$

- 0
Share
Share

Questions

Answers

Best Answers

Points

<img width="1024" height="218" class="signup-logo default_screen" alt="Sign Up" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png"> <img width="1024" height="218" class="signup-logo retina_screen" alt="Sign Up" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png">

<img width="1024" height="218" class="login-logo default_screen" alt="Sign In" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png"> <img width="1024" height="218" class="login-logo retina_screen" alt="Sign In" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png">

AcedStudy Latest Questions

Given that is the nth term of the arithmetic progression , find

1 Answer

Related Questions

Given that $443$ is the nth term of the arithmetic progression $5+8+11+...$ , find $n$