Solve, if the first term of an Ap is equal to one half of the common difference d, find the 8 term of the Ap
a = (1/2)d
term (8) = a + 7d
= d/2 + 7d
= 15d/2 or (15/2)d or 7.5d
To find the 8th term of an arithmetic progression (AP), we need to know the first term (a) and the common difference (d).
Given: The first term (a) is equal to half of the common difference (d).
Let's denote the first term as a and the common difference as d.
a = (1/2)d
Now, we can find the 8th term of the AP using the formula:
an = a + (n-1)d
where 'an' represents the nth term of the AP.
Substituting the given value of a into the formula:
a8 = (1/2)d + (8-1)d
Simplifying:
a8 = (1/2)d + 7d
Combining like terms:
a8 = (1/2 + 7)d
a8 = (15/2)d
Therefore, the 8th term of the AP is (15/2)d.