Question

the algebraic expression of a sequence is
xn=n^3-6n^2+13n-7
is it an arithmetic sequence?
​

Answer 1

This is not an arithmetic sequence. lt does not have a common difference.

Solution:

Algebraic expression = n3 – 6n2 + 13n – 7 n = 1 ⇒ = 1 – 6 + 13 – 7 = 1

n = 2

⇒ = 8 – 24 + 26 – 7 = 3 n = 3

⇒ = 27 – 6 × 9 + 39 – 7 = 27 – 54 + 32 = 5 n = 4

⇒ = 64 – 96 + 52 – 7 = 13 1, 3, 5, 13,………. This is not an arithmetic sequence. lt does not have a common difference.

If my answer is right .

If my answer is right . Please

If my answer is right . Please Mark me as brainliest.