Write the first six terms of the arithmetic sequence with the given properties. A₁ = 3,d = 4 A)4,8,12,16,20,24 B)3,7,11,15,19,23 C)3,6,9,12,15,18 D)4,7,10,13,16,19 E)3,8,12,16,20,24

Question

Quizplus · Accepted Answer

Using the formula for the nth term of an arithmetic sequence, we can find the first six terms of this sequence:
an = a1 + (n-1)d
a1 = 3
d = 4
a2 = 3 + (2-1)4 = 7
a3 = 3 + (3-1)4 = 11
a4 = 3 + (4-1)4 = 15
a5 = 3 + (5-1)4 = 19
a6 = 3 + (6-1)4 = 23
Therefore, the first six terms of this arithmetic sequence are 3, 7, 11, 15, 19, 23, which is given by choice B.

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