Question

the first three terms of the sequence TN= 4n square + 3

Answer 1

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Answer 2

Concept:

A sequence is the arrangement of numbers in a particular pattern.

There can be many types of sequences like the arithmetic sequence, the geometric sequence, the special series etc.

Given:

We are given the general form of a sequence as:

TN= 4n²+ 3

Find:

We need to find the first three terms of the sequence.

Solution:

To find the first three terms of the sequence, we will put the values of n in TN= 4n²+ 3.

For the first term:

We will put n=1 to get the first term of the expression.

T1= 4(1)²+ 3.

T1= 4+ 3=7.

For the second term:

We will put n=2 to get the second term of the expression.

T2= 4(2)²+ 3.

T2= 16+ 3=19

For the third term:

We will put n=3 to get the third term of the expression.

T3= 4(3)²+ 3.

T3= 36+ 3=39.

Therefore, the first three terms of the sequence are 7,19 and 39.

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