2+4+6+8...........+208+210 = ?

2019-06-19 6:57 pm

回答 (8)

2019-06-19 7:06 pm
✔ 最佳答案
2+4+6+8...........+208+210 = ?
Sol
A=2+4+6+…+206+208+210
A=210+208+206+…+6+4+2
2A=(2+210)+(4+208)+(6+2-6)+…+(206+6)+(208+4)+(210+2)
=212*(210/2)
=212*105
=22260
A=11130
or
項數=210/2=105
2+4+6+8...........+208+210
=(2+210)*105/2
=106*105
=11130
2019-06-19 7:02 pm
= 2*(1+105)*105/2
= 105*106
2019-06-20 4:20 am
Sn = (an² - a₁²) / 2d + (a₁ + an) / 2

= (210² - 2²) / 2·2 + (2 + 210) / 2

= 11130 #
2021-03-13 12:36 pm
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2020-08-28 3:24 pm
項數=(210-2)÷2+1=105
答案=(210+2)x105÷2=22260
2020-02-13 11:23 am
2+4+6+8...........+208+210 = ?

Sol

A=2+4+6+…+206+208+210

A=210+208+206+…+6+4+2

2A=(2+210)+(4+208)+(6+2-6)+…+(206+6)+(208+4)+(210+2)

=212*(210/2)

=212*105

=22260

A=11130

or

項數=210/2=105

2+4+6+8...........+208+210

=(2+210)*105/2

=106*105

=11130
2020-01-24 9:57 pm
11130 is the answer
use畢氏定理
2019-06-20 11:09 pm
(2+210)*105/2=11130 #


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