Answer:
the sum of all the even integers from 12 to 864, inclusive is 187,026.
Step-by-step explanation:
12,14,16,18,20...864
a1=12
d=14-12 =2
an=864
an = a1 + (n-1)d
864 = 12 + ( n-1)2
864 =12 + 2n -2
864 = 10 + 2n
-10 + 864 = 2n
854/2 = 2n/2
854/2 = n
n = 427
Sn = n/2 (a1+an)
S427 = 427/2 (12 + 864 )
= 213.5 (876)
S427 = 187,026
The sum of all even integers from 12 to 864 is 187,026.
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Answer:
the sum of all the even integers from 12 to 864, inclusive is 187,026.
Step-by-step explanation:
12,14,16,18,20...864
a1=12
d=14-12 =2
an=864
an = a1 + (n-1)d
864 = 12 + ( n-1)2
864 =12 + 2n -2
864 = 10 + 2n
-10 + 864 = 2n
854/2 = 2n/2
854/2 = n
n = 427
Sn = n/2 (a1+an)
S427 = 427/2 (12 + 864 )
= 213.5 (876)
S427 = 187,026
The sum of all even integers from 12 to 864 is 187,026.