The first term of an A.P is equal one-half of the common difference,d, find the 8th term of the A.P in the tern of 'd'
a1 = first term of A.P
d = common difference
an = nth term of A.P
an = a1 + ( n - 1 ) d
The first term of an A.P is equal one-half of the common difference means:
a1 = d / 2
In tis case:
a8 = a1 + ( 8 - 1 ) d
a8 = a1 + 7 d
a8 = d / 2 + 7 d
a8 = d / 2 + 14 d / 2
a8 = 15 / 2 d
The solving is correct just that it's .. 15d/2
1st term=one whole number one over two `d. 8th=a+(n-1)d =3d/2+(8-1) =3d/2+7d. From this point,you required to find the L.C.M. 3d/2+7d= 3d + 14d .......=17d/2. as the final answer. 2
I don't care 😇😇😇😇
Its is 15/2
15d/2
15d\2
17d/2
To find the 8th term of an arithmetic progression (A.P) in terms of the common difference, you need to know the value of the first term and the common difference.
Let's say the first term of the A.P is represented by 'a' and the common difference is represented by 'd'.
Given that the first term 'a' is equal to one-half of the common difference 'd', we can express this mathematically as:
a = (1/2)d
To find the nth term of an A.P, you can use the formula:
nth term (Tn) = a + (n-1)d
Since we want to find the 8th term, we substitute n = 8 into the formula:
T8 = a + (8-1)d
Now, let's substitute the value of 'a' in terms of 'd' into the equation:
T8 = (1/2)d + (8-1)d
Simplifying the equation:
T8 = (1/2 + 7)d
T8 = (15/2)d
Therefore, the 8th term of the A.P in terms of 'd' is (15/2)d.