What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...
1 answer:
Answer:
The nth term of the given sequence tₙ = 3 n - 7
Step-by-step explanation:
Given sequence - 4 , -1 , 2 , 5, 8 , .....
First term a = -4
The difference of two terms of a given sequence
d = -1 - (-4) = -1 +4 = 3
d = 2 - (-1) = 2 +1 = 3
d = 5 -2 = 3
d = 8 - 5 =3
The difference of two terms of a given sequence is equal
∴ The given sequence is in Arithmetic progression(AP)
The nth term of given sequence
<u><em>Final answer:</em></u>-
The nth term of the given sequence tₙ = 3 n - 7
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This is like property of a parallelogram you have to do is basically follow its properties which is opposite sides are congruent
so we solve like this
subtract -3 on each side one is canceled since its equal to zero
and other is -3-5= -8
now subtract -3 on each side
-3x-x is -4 so,
-4x=8
divide its equal to 2
X=2
Hope it helps! have an awesome day you should probably study the properties of parallelogram