Question

Given the first term and common difference of a arithmetic sequence find the first five terms and the explicit formula

1)a1=28, d=10

2)a1=-34, d=-10

3)a1=-38, d=-100

4)a1=35, d=4​

Answer 1

The first five terms of the given arithmetic sequences are found using the formula an = a1 + (n-1)d, where an represents the nth term, a1 is the first term, and d is the common difference.

Step-by-step explanation:

To find the first five terms of an arithmetic sequence, you can use the formula: an = a1 + (n-1)d, where an represents the nth term, a1 is the first term, and d is the common difference.

Using this formula for the given arithmetic sequences:

1. a1 = 28, d = 10, the first five terms are: 28, 38, 48, 58, 68.
2. a1 = -34, d = -10, the first five terms are: -34, -44, -54, -64, -74.
3. a1 = -38, d = -100, the first five terms are: -38, -138, -238, -338, -438.
4. a1 = 35, d = 4, the first five terms are: 35, 39, 43, 47, 51.