Question

Provided is an arithmetic sequence formula. Please find the first number. An=8+(n-1)2

a) 6
b) 8
c) 2
d) 10

Answer 1

To find the first number of an arithmetic sequence given by An = 8 + (n - 1) × 2, we substitute n with 1, yielding A1 = 8 + (1 - 1) × 2 which simplifies to 8, making it the first number of the sequence.

Step-by-step explanation:

The student has provided the formula for the nth term of an arithmetic sequence: An = 8 + (n - 1) × 2. To find the first number of the sequence, we need to substitute n = 1 into the formula because the first term corresponds to n being 1.

Substituting n = 1 we get:

A1 = 8 + (1 - 1) × 2

A1 = 8 + 0 × 2

A1 = 8

Therefore, the first number of the sequence is 8.