Question

The nth term of a sequence is n² + 3. Find the first three terms of this sequence.

Answer 1

4, 7, 12

Step-by-step explanation:

First term: n = 1

n² + 3 = 1² + 3 = 1 + 3 = 4

Second term: n = 2

n² + 3 = 2² + 3 = 4 + 3 = 7

Third term: n = 3

n² + 3 = 3² + 3 = 9 + 3 = 12

Answer 2

The first three terms of the sequence whose nth term is given by n² + 3 are 4, 7, and 12, found by substituting n with 1, 2, and 3 respectively.

Step-by-step explanation:

To find the first three terms of the sequence with the nth term given by n2 + 3, we will substitute the values of n with 1, 2, and 3 respectively.

• For n = 1: 12 + 3 = 1 + 3 = 4
• For n = 2: 22 + 3 = 4 + 3 = 7
• For n = 3: 32 + 3 = 9 + 3 = 12

Therefore, the first term of the sequence is 4, the second term is 7, and the third term is 12.