Write the first five terms of the arithmetic sequence with first term −2 and common difference 3

Step 1: Identify the first term. The first term (a₁) is given as −2. Step 2: Calculate the second term. To find the next term, add the common difference (d=3) to the previous term. a₂ = a₁ + d = −2 + 3 = 1 Step 3: Calculate the third term. a₃ = a₂ + d = 1 + 3 = 4 Step 4: Calculate the fourth term. a₄ = a₃ + d = 4 + 3 = 7 Step 5: Calculate the fifth term. a₅ = a₄ + d = 7 + 3 = 10 The first five terms of the arithmetic sequence are: −2, 1, 4, 7, 10

Write the first five terms of the arithmetic sequence with first term −2 and common difference 3

Step 1: Identify the first term. The first term (a₁) is given as −2. Step 2: Calculate the second term. To find the next term, add the common difference (d=3) to the previous term. a₂ = a₁ + d = −2 + 3 = 1 Step 3: Calculate the third term. a₃ = a₂ + d = 1 + 3 = 4 Step 4: Calculate the fourth term. a₄ = a₃ + d = 4 + 3 = 7 Step 5: Calculate the fifth term. a₅ = a₄ + d = 7 + 3 = 10 The first five terms of the arithmetic sequence are: −2, 1, 4, 7, 10

Solved: Write the first five terms of the arithmetic…

Identify the first term.
The first term ( $a_1$ ) is given as $-2$ .
Calculate the second term.
To find the next term, add the common difference ( $d=3$ ) to the previous term.
$a_2 = a_1 + d = -2 + 3 = 1$
Calculate the third term.
$a_3 = a_2 + d = 1 + 3 = 4$
Calculate the fourth term.
$a_4 = a_3 + d = 4 + 3 = 7$
Calculate the fifth term.
$a_5 = a_4 + d = 7 + 3 = 10$
The first five terms of the arithmetic sequence are:
$-2, 1, 4, 7, 10$

Write the first five terms of the arithmetic sequence with first term -2 and common difference 3

Answer

Step-by-step solution

Identify the first term.

Calculate the second term.

Calculate the third term.

Calculate the fourth term.

Calculate the fifth term.

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