Vilbar377idn
Answered

Suriin ang IDNStudy.com para sa mabilis na mga solusyon sa iyong mga problema. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

Determine whether it is
Arithmetic Sequence or not.
1.) 2, 4, 6, 8,...
2.) 3, 6, 10, 15,...
3.) -3,-1, 1, 3,...
4.) 5, 10, 20,40,...
5.) 10, 6, 2,-2,...
​

Sagot :

Denice26idn

Answer:

1.Arithmetic sequence(added +2)

2.not arithmetic sequence

3.Arithmetic sequence(added -2)

4.not arithmetic sequence

5.Arithmetic sequence(added -4)

Step-by-step explanation:

•An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2

#CORRECT ME IF IM WRONG

#MARK ME AS A BRAINLIEST BAKA NAMAN

RyleXaiidn

[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]

▪ [tex]\bm{1.) 2, 4, 6, 8,...}[/tex]

▪ [tex]\bm{2.) 3, 6, 10, 15,...}[/tex]

▪ [tex]\bm{3.) -3,-1, 1, 3,...}[/tex]

▪ [tex]\bm{4.) 5, 10, 20,40,...}[/tex]

▪ [tex]\bm{5.) 10, 6, 2,-2,...}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{ Required:}}}}}}[/tex]

To determine whether it is [tex]\bold{Arithmetic \: \: Sequence}[/tex] or not.

[tex]{\large{\textsf{\textbf{\underline{\underline{ Explanation:}}}}}}[/tex]

‣ An arithmetic sequence is arithmetic if the difference between any term and the previous one is constant.



1.) [tex]\tt{2, 4, 6, 8,... }[/tex]

[tex]\tt{ 4-2=2}[/tex]

[tex]\tt{6-4=2 }[/tex]

[tex]\Longrightarrow\tt{ 8-6=2}[/tex]

[tex]\boxed{ \red{ \tt{Arithmetic \: \: Sequence }}}\large{✓}[/tex]

2.) [tex]\tt{3, 6, 10, 15,... }[/tex]

[tex]\tt{ 6-3=3}[/tex]

[tex]\Longrightarrow\tt{ 10-6=4}[/tex]

[tex]\boxed{ \red{ \tt{ Not \: \: an \: Arithmetic \: \: Sequence }}}\large{✗}[/tex]

3.) [tex]\tt{ -3,-1, 1, 3,...}[/tex]

[tex]\tt{ - 1 - ( - 3) = - 1 + 3 = 2 }[/tex]

[tex]\tt{1( - 1) = 1 + 1 = 2 }[/tex]

[tex]\Longrightarrow\tt{3-1=2 }[/tex]

[tex]\boxed{ \red{ \tt{ Arithmetic \: \: Sequence}}}\large{✓}[/tex]

4.) [tex]\tt{5, 10, 20,40,... }[/tex]

[tex]\tt{10-5=5 }[/tex]

[tex]\Longrightarrow\tt{ 20-10=10}[/tex]

[tex]\boxed{ \red{ \tt{ Not \: \: an \: Arithmetic \: \: Sequence }}}\large{✗}[/tex]

5.) [tex]\tt{10, 6, 2,-2,... }[/tex]

[tex]\tt{ 6-10=-4}[/tex]

[tex]\tt{2-6=-4 }[/tex]

[tex]\Longrightarrow\tt{-2-2=-4 }[/tex]

[tex]\boxed{ \red{ \tt{ Arithmetic \: \: Sequence}}}\large{✓}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{ Answer:}}}}}}[/tex]

[tex]\sf{1.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

[tex]\sf{2.) \: \: \boxed{ \sf{No }}}[/tex] ✗

[tex]\sf{3.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

[tex]\sf{4.) \: \: \boxed{ \sf{No }}}[/tex] ✗

[tex]\sf{5.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

hope it helps ~

Ang iyong presensya ay mahalaga sa amin. Patuloy na magbahagi ng iyong karanasan at kaalaman. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. Salamat sa pagbisita sa IDNStudy.com. Nandito kami upang magbigay ng malinaw at tumpak na mga sagot.