Finding a specific term in an AP
Finding a specific term means locating the required term number in an AP using the nth-term formula or by working backward from the sequence.
Practice This ConceptMain explanation
Teacher explanation
Many exam questions do not ask for the entire AP. They ask for a particular term such as the 10th term, 25th term, or a term that matches a given value. The safest method is to use the nth-term formula and substitute the right values carefully.
Example
In the AP 4, 9, 14, 19, ..., the 10th term is 4 + 9(5) = 49.
Simple analogy
Position number tells you how many steps to count after the first term.
Common confusion
Students sometimes stop at the third or fourth term instead of using the formula for the exact required position.
Exam tip
When the question asks for a specific term, do not write the whole list unless it helps you check your formula.
Answer writing and exam use
1-mark use
Write the exact meaning of finding a specific term in an ap in one clean line.
2-mark use
Define finding a specific term in an ap and add one example or condition.
3-mark use
Explain finding a specific term in an ap, show the method or example, and mention the common mistake.
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