If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

• A. 14
• B. 11
• C. 17
• D. 20

Answer: (A)

To find the 4th term of an arithmetic sequence, you can use the formula for the nth term of the sequence, which is given by: \[ a_n = a_1 + (n - 1) \cdot d \] where: - \( a_n \) is the nth term, - \( a_1 \) is the first term, - \( n \) is the term number, and - \( d \) is the common difference. In this case, the first term \( a_1 \) is 5, the common difference \( d \) is 3, and you are looking for the 4th term (\( n = 4 \)). Plugging these values into the formula: \[ a_4 = 5 + (4 - 1) \cdot 3 \] Calculating the expression step-by-step: 1. Calculate \( 4 - 1 \): This equals 3. 2. Next, multiply by the common difference: \( 3 \cdot 3 = 9 \). 3. Finally, add this to the first term: \( 5 + 9 = 14 \). Therefore, the 4th term of the

To find the 4th term of an arithmetic sequence, you can use the formula for the nth term of the sequence, which is given by:

[ a_n = a_1 + (n - 1) \cdot d ]

where:

• ( a_n ) is the nth term,

• ( a_1 ) is the first term,

• ( n ) is the term number, and

• ( d ) is the common difference.

In this case, the first term ( a_1 ) is 5, the common difference ( d ) is 3, and you are looking for the 4th term (( n = 4 )). Plugging these values into the formula:

[ a_4 = 5 + (4 - 1) \cdot 3 ]

Calculating the expression step-by-step:

1. Calculate ( 4 - 1 ): This equals 3.

2. Next, multiply by the common difference: ( 3 \cdot 3 = 9 ).

3. Finally, add this to the first term: ( 5 + 9 = 14 ).

Therefore, the 4th term of the