Question

The sum of five consecutive odd numbers is 805. What will be the next odd number ? ​

Answer 1

Step-by-step explanation:

888

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Answer 2

Answer:

625

Step-by-step explanation:

Let the first five consecutive odd numbers be x , x+2 , x+4 , x+6 , x+8 .

Now, it is given that the sum of first five consecutive odd numbers is 575 which means:

⇒ x+(x+2)+(x+4)+(x+6)+(x+8)=575

⇒5x+20=575

⇒5x=575−20

⇒5x=555

⇒x=5555=111

Therefore, the first odd integer is 111 then the second integer is x+2 = 111+2 = 113 , the third integer is x+4 = 111+4 = 115, the forth integer is x+6 = 111 + 6 = 117 and the fifth integer is x+8 = 111 + 8 = 119

The set of first five consecutive odd numbers is 111 , 113 , 115 , 117 , 119. Similarly, the set of next five consecutive odd numbers will be 121 , 123 , 125 , 127 , 129 and their sum can be determined as follows:

⇒121+123+125+127+129=625

Hence, the sum of the next set of consecutive odd numbers is 625.