Answered

Pattern: 4, 10, 18, 28, 40, 54, 70, 88, 108, 130

Since the second difference is constant in the pattern above, the algebraic

expression will have degree 2. In an expression of degree 2, the largest

exponent is 2. Therefore, we know that the expression for this pattern must

include n^2. What is the algebraic expression for the nth term in this pattern?

Answer :

Answer:

The algebraic expression for the nth term in this pattern is n^2 + 3n

Step-by-step explanation:

We want an algebraic expression for the nth term in this pattern.

Like we are told, there must be an expression that includes the term n^2

So therefore;

We need to express each of the terms to include the n^2 term

Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.

for 4; 1^2 + 3(1)

For 10; 2^2 + 3(2)

For 18; 3^3 + 3(3)

For 28; 4^2 + 3(4)

For 50; 5^2 + 3(5)

So the nth term will be;

n^2 + 3n

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