find the sum of 11+12+13+........+192 with step by step
Answers
Answer:hola
Step-by-step explanation:
Answer:
174 is the answer for the relation 10,10,11.
Step-by-step explanation:
Given number sequence is as follows:
9,9,8=144
11,11,12=192
10,10,11=?
We need first figure out the similarities in the first two sequences.
Two numbers 144, 192 are divisible by 6.
It could be guessed that two sequences follow the equation (n1 + n2 + n3 - 2) * 6
First sequence:
n1 = 9
n2 = 9
n3 = 8
So,
(9+9+8-2) * 6 = 144
Second sequence:
n1 = 11
n2 = 11
n3 = 12
So,
(11+11+12-2) * 6 = 192
Third sequence:
n1 = 10
n2 = 10
n3 = 11
So,
(10+10+11-2) * 6 = 174
Answer:
here 1st term is 11
common difference is12-11=1
let nth term is 192
so,
11+(n-1).1=192
11+n-1=192
n=192-10=182
sum of 182 terms is
182/2{2.11+(182-1).1}
=91(22+181)
=91×203
=18473