Question

(1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10)*10=

Answer 1

(1/1×2+1/2×3+1/3×4...

Answer 2

Let's break down the expression step by step:

(1/1 * 2) + (1/2 * 3) + (1/3 * 4) + (1/4 * 5) + (1/5 * 6) + (1/6 * 7) + (1/7 * 8) + (1/8 * 9) + (1/9 * 10)

Now, let's evaluate each part:

1/1 * 2 = 2 1/2 * 3 = 1.5 1/3 * 4 = 1.333... 1/4 * 5 = 1.25 1/5 * 6 = 1.2 1/6 * 7 = 1.166... 1/7 * 8 = 1.142... 1/8 * 9 = 1.125 1/9 * 10 = 1.111...

Now add up all the results:

2 + 1.5 + 1.333... + 1.25 + 1.2 + 1.166... + 1.142... + 1.125 + 1.111...

When we sum up these numbers, the expression becomes approximately:

≈ 8.44

Finally, multiply the result by 10:

8.44 * 10 = 84.4

So, (1/1 * 2 + 1/2 * 3 + 1/3 * 4 + 1/4 * 5 + 1/5 * 6 + 1/6 * 7 + 1/7 * 8 + 1/8 * 9 + 1/9 * 10) * 10 is approximately equal to 84.4.