Question

A sequence can be generated using the equation an=2n+24. What are the first four terms in this sequence?

A) 26, 28, 30, 32
B) 24, 26, 28, 30
C) 50, 52, 54, 56
D) 22, 24, 26, 28

Answer 1

The first four terms of the sequence described by an = 2n + 24 are 26, 28, 30, and 32 by substituting n with values 1 through 4 and calculating the terms.

Step-by-step explanation:

To find the first four terms in the sequence described by the equation an = 2n + 24, you substitute the first four natural numbers (1, 2, 3, and 4) in place of n and perform the calculation for each.

1. For n=1: a1 = 2(1) + 24 = 2 + 24 = 26
2. For n=2: a2 = 2(2) + 24 = 4 + 24 = 28
3. For n=3: a3 = 2(3) + 24 = 6 + 24 = 30
4. For n=4: a4 = 2(4) + 24 = 8 + 24 = 32

Therefore, the first four terms of the sequence are 26, 28, 30, and 32.