Calculate the N + 1 power of 1-2 + 3-4 + 5 - ··· (- 1) multiplied by n

Calculate the N + 1 power of 1-2 + 3-4 + 5 - ··· (- 1) multiplied by n

From 1-2 + 3-4 + 5-6 +. + (- 1) ^ (n + 1) · n,
(1) When n is even, the last term is negative,
That is 1-2 + 3-4 + 5-6 +. + (n-1) - n
=（1-2）+（3-4）+（5-6）+.+（n-1-n）
=-n/2.
For example: when n = 100, 1-2 + 3-4 + 5-6 +. + 99-100 = - 50
(2) When n is odd, the last term is positive,
That is, 1-2 + 3-4 + 5-6 +. - (n-1) + n
=1+（3-2）+（5-4）+（6-5）+.+（n-n+1）
=（n+1）/2.
For example: when n = 99, 1-2 + 3-4 + 5-6 +. - 98 + 99 = 50
Remember to adopt it. Thank you

2 - (2) quadratic - (2) cubic -. (2) ninth power + (2) how to calculate easily Simple calculation process

Original formula = 2 + 2 ^ 10 - (2 ^ 2 + 2 ^ 3 +... + 2 ^ 9)
In the latter half, the first term is 4 and the common ratio is 2. The sum formula of the equal ratio sequence is used
=2+2^10-4*(1-2^8)/(1-2)
=2+2^10-2^10+4
=6

How to calculate the math problem (2 + 1) (2's square + 1) (2's 4th power + 1)... (2's 32nd power + 1) + 1?

(2+1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2^4-1)(2^4+1)(2^8+1).(2^32+1)+1
=(2^8-1)(2^8+1).(2^32+1)+1
=(2^16-1).(2^32+1)+1
.
=(2^32-1)(2^32+1)+1
=2^64-1+1
=2^64

Calculation: the square of one plus three plus three and the third power of three plus Add three to the ninth power and three to the tenth power

Let s = 1 + 3 + 3 2 + 3 3 +. + 3 ^ 10, then 3S = 3 + 3 ^ + 3 +. + 3 ^ 113s-s = (3 + 3 ^ + 3 +. + 3 ^ 11) - (1 + 3 + 3 ^. + 3 ^ 10) 2S = 3 ^ 11-1 ﹥ s = (3 ^ 11-1) / 2

Calculate the square of 1 * (- 3) - (- 1 / 2) to the 2003 power * (- 2) 2002 power divided by two nines

The square of 1 * (- 3) - (- 1 / 2) 2003 power * (- 2) 2002 power divided by two nines
=The 2003 power of 1 * (- 3) - (- 1 / 2) * (- 2) 2002 power △ 2 / 9
=-3 - (- 1 / 2) × (- 1 / 2) to the power of 2002 × (- 2) to the power of 2 / 9
=-3 - (- 1 / 2) × [(- 1 / 2) × (- 2)]
=-3 - (- 1 / 2) × 1 to the power of 2002 △ 2 / 9
=-3-(-1/2)×1÷2/9
=-3+1/2÷2/9
=-3+1/2×9/2
=-3+9/4
=-3/4

The second power of 2 minus 2, the third power of 2 minus the fourth power of two... - the ninth power of 2 and the tenth power of two

The second power of 2 minus the second power of 2 minus the fourth power of two... - the ninth power of 2 and the tenth power of two
=2-2^2-2^3-2^4-.-2^9+2^10
=5-1-2-2^2-2^3-2^4-.-2^9+2^10
=5-(1+2+2^2+2^3+2^4+.+2^9)+2^10
=5-(2^10-1)+2^10
=5-2^10+1+2^10
=6

Calculate 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

1+3+5+7+9+11+13+15+17+19
=（1+19）+（3+17）+（5+15）+（7+13）+（9+11）
=20×5
=100．

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 is added to the second power of 99

(1+3+…… +(2 * n-1)) = n ^ 299 = 2 * 50-1 the result you want is 50 ^ 2 = 2500

0.1+0.2+0.3+0.4+0.5+0.7+0.9+0.11+0.13+0.15+0.17+0.19…… +What is 0.99 To calculate the process

0.1+0.2+0.3+0.4+.+0.99
=(0.1+0.99)+(0.2+0.98)+.+(0.49+0.51)=0.50
=1+1+1+.+1+0.50
=49+0.50
=49.5

1+3+5+7+9+11+13+15+17+19+21+23…… +99 = how much square is it

Fifty