Find The Term Of An Ap Whose First Term Is 2 And The Common Difference Is 0.5
To find the term of an arithmetic progression (AP) given the first term and the common difference, you can use the formula:
\[a_n = a + (n - 1)d\]
where:
- \(a_n\) = Term of the AP
- \(a\) = First term of the AP
- \(n\) = Position of the term
- \(d\) = Common difference of the AP
In this case, the first term (\(a\)) is 2, and the common difference (\(d\)) is 0.5. Let's substitute these values into the formula:
\[a_n = 2 + (n - 1)(0.5)\]
Simplifying further:
\[a_n = 2 + 0.5n - 0.5\]
Combining like terms:
\[a_n = 1.5 + 0.5n\]
Therefore, the term of the arithmetic progression whose first term is 2 and the common difference is 0.5 can be expressed as \(a_n = 1.5 + 0.5n\).