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Arithmetic Progressions
CH05 Question Bank
CBSE_CH05_QUESTION_BANK
Grade 10

Question:

In an AP with first term $a=-5$ and common difference $d=6$, the term that first becomes positive is:

The $1$st term
The $2$nd term
The $3$rd term
The $4$th term

Step-by-Step Solution

Key Concept: List the initial terms to find where the sign changes.
$a_1=-5,\ a_2=-5+6=1$. [0.5 Mark]

Since $a_2=1>0$ is the first positive term, the answer is the $2$nd term. [0.5 Mark]

Correct Answer: The $2$nd term
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