Question

Problem
The sum of 333 consecutive odd numbers is 515151.
What is the second number in this sequence?

Answer 1

Answer:

$\green {Second \: term \: in \: sequence = x+2 = 1215+2 = 1217}$

Step-by-step explanation:

Let x, (x+2),(x+4), ...,333 terms are consecutive odd numbers are in A.P

First term (a) = x ,

Common difference (d) = 2,

Number of terms = n

$\boxed { \pink {Sum \: of \: n\:terms \:(S_{n})=\frac{n}{2}[2a+(n-1)d]}}$

$S_{333} = 515151\:(given)$

$\implies \frac{333}{2}[2x+(333-1)2]=515151$

$\implies \frac{333}{2}\times 2(x+332)=515151$

$\implies 333(x+332)= 515151$

$\implies x+332 = \frac{515151}{333}$

$\implies x + 332 = 1547$

$\implies x = 1547 - 332$

$\implies \blue {x = 1215}$

$Now\\ ,\green {Second \: term \: in \: sequence = x+2 = 1215+2 = 1217}$

Therefore.,

$\green {Second \: term \: in \: sequence = x+2 = 1215+2 = 1217}$

•••♪

Answer 2

Answer:

17

Source:

Just trust me bro