Question

Find the middle term of the sequence formed by all numbers between 9 and 95 leaving a remainder of 1 when divided by 3 also find the sum of the numbers on both sides of the middle term separate;y

Answer 1

Hey !!!!!!

Well Well Well it's a question similar to the one given in the optional exercise of NCERT. No worry I'll solve it.

First let's make the sequence
10 , 13 , 16 , ... 94

Here,

a = 10
d = 3
l = 94
n = ?

Therefore, l = a + (n - 1) d

=> 94 = 10 + (n - 1 )3
=>( n - 1)3 = 84
=> n - 1 = 28

$n = 29(odd)$
Here middle term = median

Median = { (n + 1)/2 }th observation

=> { (29 + 1)/2 }th observation
=> { 30/2 }th observation
=> { 15 }th observation
=> a15

We know a15 = a + 14d
= 10 + 14(3)
= 10 + 42
= 52

Thus the middle term is 52.