Answers

2015-11-06T08:30:50+08:00
16 lahat ng even

0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

wait, i aadd ba lahat o bibilangin?
pag inadd 240
1 5 1
  • Brainly User
2015-11-06T09:24:35+08:00

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Arithmetic sequence {2, 4, 6 ..., 30}
Difference between any two consecutive even numbers: 2
First term, a _{1} = 2
Last term, a _{n} = 30
Number of terms:  Unknown

Hanapin ang number of terms/items:
a _{n} = a _{1} +(n-1)(d)

Gamitin ang mga impormasyon sa itaas:

30 = 2 + (n-1)(2)
30 = 2 + 2n - 2
30 = 2n + 2 - 2
30 = 2n
2n/2 = 30/2
n = 15

Formula ng kabuuan or sum ng arithmetic sequence:

S _{n} =  \frac{n}{2} (a _{1} +a _{2} )

S _{15} =  \frac{15}{2} (2+30)

S _{15} =  \frac{15}{2} (32)

S _{15} = (15)(16)

S _{15} = 240

Ang sum ng mga even numbers na hindi lalagpas sa 30 ay 240.

Kung ang hihingin ay sum o kabuuan ng numbers, even numbers o odd numbers na aabot sa 100 o mahigit pa, mas makabubuting gamitin ang formula ng arithmetic sequence at sum of the series.  

Sa ganitong paraan, maiiwasan ang paglista ng maraming numero bago kunin ang sum o kabuuan ng mga ito.




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