Question #4b2cd

1 Answer
Aug 25, 2017

108108

Explanation:

Long method:

Let the first number be xx. We know that, consecutive odd numbers have difference of 22

So, the numbers are

color(blue)(x,x+2,x+4,x+6,x+8,x+10,x+12,x+14,x+16x,x+2,x+4,x+6,x+8,x+10,x+12,x+14,x+16

It is stated that the third term (x+4x+4) is equal to 99

rarrx+4=9x+4=9

color(blue)(rarrx=9-4=5x=94=5

So, insert the value of xx in the sequence to get the sum

rarr(5)+(5+2)+(5+4)+(5+6)+(5+8)+(5+8)+(5+10)+(5+12)+(5+14)+(5+16)(5)+(5+2)+(5+4)+(5+6)+(5+8)+(5+8)+(5+10)+(5+12)+(5+14)+(5+16)

rarr5+7+9+11+13+15+17+19+215+7+9+11+13+15+17+19+21

color(green)(rArr108108

Hope this helps!!!