find the sum of 20terms of series2-4+6-8+10-12+.......
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0
For the general Arithmetic sequence , with terms
a , a+d , a+2d , a+3d , .................... , a + (n-1)d
where a is the 1st term and d , the common difference
The sum to n terms =
n
2
[
2
a
+
(
n
−
1
)
d
)
]
here a = 2 , d = 4-2 = 6-4 = 2 and n = 20
sum of 1st 20 terms
=
20
2
[
(
2
×
2
)
+
(
19
×
2
)
]
=
420
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4
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