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3 years ago

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

Mathematics

1 answer:

storchak [24]3 years ago

6 0

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

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

<u><em>Final answer:</em></u>-

The nth term of the given sequence tₙ = 3 n - 7

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<h3>How to determine the length of the curve?</h3>

The curve is given as:

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