Answer
5 Arithmetic means: 3, 10, 17, 24, 31
Arithmetic Sum: 119
Formula for arithmetic sequence
an=a1+(n-1)d
n=7
an=38
a1=-4
using the formula:
38=-4+(7-1)d
42=6d
⅙(42=6d)⅙
d=7
since nakuha na natin ang commn difference (d)
-4, (plus 7) 3, (+7) 10, (+7) 17, (+7) 24, (+7) 31, (+7) 38
Therefore, the 5 arithmetic means between-4 and 38 are 3, 10, 17, 24, 31
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Sum of Arithmetic series Formula
Sn=n(a1+an)/2
an= 38
Using the formula:
Sn= 7(-4+38)/2
7(34)/2
238/2
Sn=119
The arithmetic sum is 119.
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Answers & Comments
Answer
5 Arithmetic means: 3, 10, 17, 24, 31
Arithmetic Sum: 119
Formula for arithmetic sequence
an=a1+(n-1)d
n=7
an=38
a1=-4
using the formula:
38=-4+(7-1)d
42=6d
⅙(42=6d)⅙
d=7
since nakuha na natin ang commn difference (d)
-4, (plus 7) 3, (+7) 10, (+7) 17, (+7) 24, (+7) 31, (+7) 38
Therefore, the 5 arithmetic means between-4 and 38 are 3, 10, 17, 24, 31
______________________________________
Sum of Arithmetic series Formula
Sn=n(a1+an)/2
a1=-4
an= 38
n=7
Using the formula:
Sn= 7(-4+38)/2
7(34)/2
238/2
Sn=119
The arithmetic sum is 119.