Question

Use the arithmetic series

₅
S5 = Σ (1 + 3k) to answer each question.
ᵏ⁼¹
What are the terms of this arithmetic series?
a₁ =

Answer 1

The terms of the arithmetic series ₅S5 = Σ (1 + 3k), where k=1 to 5, are 4, 7, 10, 13, and 16; with the first term, a₁, being 4.

Step-by-step explanation:

The question involves finding the terms of the arithmetic series given by the formula ₅S5 = Σ (1 + 3k), where k ranges from 1 to 5. To find the terms of the series, we substitute the values of k into the expression (1 + 3k).

• For k=1: a₁ = 1 + 3(1) = 4
• For k=2: a₂ = 1 + 3(2) = 7
• For k=3: a₃ = 1 + 3(3) = 10
• For k=4: a₄ = 1 + 3(4) = 13
• For k=5: a₅ = 1 + 3(5) = 16

Hence, the terms of the arithmetic series are 4, 7, 10, 13, and 16, and the first term a₁ is 4.