find the 8th term of an A.P -3,-1,1
change = +2
so -3 + 7(2) = -3 + 14 = 11
Where does the 2 comes from.
17
To find the 8th term of an arithmetic progression (A.P.), we need to determine the common difference (d) between consecutive terms.
By examining the given terms: -3, -1, 1, we observe that each term increases by 2. Hence, the common difference (d) is 2.
Now, we can determine the 8th term (a₈) of the A.P. by using the formula:
aₙ = a₁ + (n - 1)d
Where:
aₙ = the nth term
a₁ = the first term
n = the position of the term
d = common difference
In this case:
a₁ = -3 (the first term)
d = 2 (the common difference)
n = 8 (the position of the term we want to find)
Substituting these values into the formula, we get:
a₈ = -3 + (8 - 1) * 2
= -3 + 7 * 2
= -3 + 14
= 11
Therefore, the 8th term of the given A.P. is 11.