if the pth term of an ap is q
If the pth term of an AP is q
Answer:
In an Arithmetic Progression (AP), if the pth term is q, it means that the pth term of the series follows a specific pattern where each term differs from the previous one by a constant value (called the common difference).
The formula to find the pth term of an AP is given by:
[ a_p = a_1 + (p-1) \times d ]
Where:
- ( a_p ) is the pth term,
- ( a_1 ) is the first term of the AP,
- ( d ) is the common difference, and
- ( p ) is the position of the term you are trying to find.
Given that the pth term of the AP is q, we can set ( a_p = q ) in the formula. By rearranging the formula, we can find the value of the pth term or any other variable if the remaining values are known. This formula is fundamental in arithmetic progressions and is used to calculate any term in the sequence when certain properties are given.