Question

The sum of five consecutive odd numbers a1 to a5 is 75. what is the sum of the five consective even number, whose end by term is same 2a5

Answer 1

Step-by-step explanation:

15

PREMISES

The sum of 5 consecutive odd numbers=75

ASSUMPTIONS

Let x=the 1st of the odd numbers

CALCULATIONS

x+(x+2)+(x+4)+(x+6)+(x+8)=75

5x+(2+4+6+8)=75

5x+20=75

5x/5+20–20=(75–20)/5

x+0=55/5

x=55/5

x=

11

If x=11, then x, (x+2), (x+4), (x+6), and ( x+8)=

the sequence 11,13,15,17,19

The 3rd number in the sequence=

15