IDNStudy.com, ang iyong destinasyon para sa mabilis at eksaktong mga sagot. Ang aming komunidad ay handang magbigay ng malalim at maaasahang mga sagot, anuman ang kahirapan ng iyong mga katanungan.
Sagot :
Sum of even numbers not more than 30. (Not more 30 means 30 is included. Use the symbol ≤)
= {x/x is an even number ≤ 30 }
= {2, 4, ... 30]
The difference (d) between any two consecutive numbers = 2
Steps:
1) Find the number of terms in a sequence of even numbers up to 30. The pattern/rule is:
[tex]a _{n} = a_{1} +(n-1)(d)[/tex]
where:
[tex]a _{n} [/tex] = the last term ⇒ 30
[tex]a _{1} [/tex] = is the first term ⇒ 2
d (difference) = 2
2) Solve for n:
30 = 2 + (n - 1) (2)
30 = 2 + 2n - 2
30 = 2n
2n/2 = 30/2
n = 15
The number of terms in the given sequence is 15.
3) Solve for the sum of the sequence:
[tex]S _{n} = \frac{n}{2} (a _{1} +a _{n} )[/tex]
[tex]S _{n} = \frac{15}{2} (2+30)[/tex]
[tex]S _{n} = \frac{15}{2} (32)[/tex]
[tex]S _{n} = 15(16)[/tex]
[tex]S _{n} = 240[/tex]
The sum of even numbers not more than 30 is 240.
(Note: I assume that you are reviewing for MTAP, because this is an advance topic for Grade 2 or 3 student.}
= {x/x is an even number ≤ 30 }
= {2, 4, ... 30]
The difference (d) between any two consecutive numbers = 2
Steps:
1) Find the number of terms in a sequence of even numbers up to 30. The pattern/rule is:
[tex]a _{n} = a_{1} +(n-1)(d)[/tex]
where:
[tex]a _{n} [/tex] = the last term ⇒ 30
[tex]a _{1} [/tex] = is the first term ⇒ 2
d (difference) = 2
2) Solve for n:
30 = 2 + (n - 1) (2)
30 = 2 + 2n - 2
30 = 2n
2n/2 = 30/2
n = 15
The number of terms in the given sequence is 15.
3) Solve for the sum of the sequence:
[tex]S _{n} = \frac{n}{2} (a _{1} +a _{n} )[/tex]
[tex]S _{n} = \frac{15}{2} (2+30)[/tex]
[tex]S _{n} = \frac{15}{2} (32)[/tex]
[tex]S _{n} = 15(16)[/tex]
[tex]S _{n} = 240[/tex]
The sum of even numbers not more than 30 is 240.
(Note: I assume that you are reviewing for MTAP, because this is an advance topic for Grade 2 or 3 student.}
Sum of even numbers not more than 30. (Not more 30 means 30 is included. Use the symbol ≤)
= {x/x is an even number ≤ 30 }
= {2, 4, ... 30]
The difference (d) between any two consecutive numbers = 2
Steps:
1) Find the number of terms in a sequence of even numbers up to 30. The pattern/rule is:
where:
= the last term ⇒ 30
= is the first term ⇒ 2
d (difference) = 2
2) Solve for n:
30 = 2 + (n - 1) (2)
30 = 2 + 2n - 2
30 = 2n
2n/2 = 30/2
n = 15
The number of terms in the given sequence is 15.
3) Solve for the sum of the sequence:
The sum of even numbers not more than 30 is 240.
(Note: I assume that you are reviewing for MTAP, because this is an advance topic for Grade 2 or 3 student.}
Ang iyong kontribusyon ay mahalaga sa amin. Huwag kalimutang bumalik upang magtanong at matuto ng mga bagong bagay. Ang iyong kaalaman ay napakahalaga sa ating komunidad. Sa IDNStudy.com, kami ay nangako na magbigay ng pinakamahusay na mga sagot. Salamat at sa muling pagkikita.
