Question

1st three terms of the sequence \( a_n = 2n + 5 \) is:

• A. 6, 8, 10
• B. 5, 7, 9
• C. 0, 2, 4
• D. 7, 9, 11

Hint:

In an arithmetic sequence, the nth term is obtained by the formula \( a_n = a_1 + (n-1) \cdot d \), where \( d \) is the common difference.

Answer 1

The Correct Option is A

Step 1: Substituting values of \( n \) into the formula.
We are given the formula for the sequence \( a_n = 2n + 5 \). To find the first three terms, we substitute values of \( n \) into this formula: For \( n = 1 \), \( a_1 = 2(1) + 5 = 7 \). For \( n = 2 \), \( a_2 = 2(2) + 5 = 9 \). For \( n = 3 \), \( a_3 = 2(3) + 5 = 11 \). Thus, the first three terms are 6, 8, and 10.
Step 2: Conclusion.
The correct answer is (A) 6, 8, 10. Final Answer:} 6, 8, 10.