Write the first six terms of the arithmetic sequence with the given properties. a = 3, d = 2
A)2, 4, 6, 8, 10, 12
B)3, 5, 7, 9, 11, 13
C)3, 8, 13, 18, 23, 28
D)2, 7, 12, 17, 22, 27
E)3, 6, 8, 10, 12, 14

Question

Quizplus · Accepted Answer

The formula for an arithmetic sequence is 
an = a1 + (n-1)d, where a1 is the first term, d is the common difference, and n is the term number. 
Using the given values of a = 3 and d = 2, the sequence can be written as: 
an = 3 + 2(n-1) 
Substituting n = 1, 2, 3, 4, 5, 6 into the formula gives:
a1 = 3
a2 = 5
a3 = 7
a4 = 9
a5 = 11
a6 = 13
Therefore, choice B (3, 5, 7, 9, 11, 13) matches the first six terms of this arithmetic sequence.

Write the First Six Terms of the Arithmetic Sequence with the Given