Question

The average of 11 consecutive number is 133.then calculate the average of initial five consecutive numbers of that sequence??

Answer 1

Answer:

130

Step-by-step explanation:

let the 11 consecutive numbers = a+1, a+2, a+3, ..., a+11

average of the 11 numbers = 133

sum of the 11 numbers = 133×11 = 1463

=> a+1 + a+2 + a+3 + ..., + a+11 = 1463

=> 11×a + 1+2+3+ ... + 11 = 1463

=> 11a + 11×12/2 = 1463

=> 11a + 66 = 1463

=> 11a = 1463 - 66 = 1397

=> a = 1397/11 = 127

average of initial five consecutive numbers = a+1, (a+1 + a+2 + a+3 + a+4 + a+5)/5

= (5a + 1+2+3+4+5)/5

= (5×127 + 15)/5

= 650/5 = 130